166261788 has 96 divisors (see below), whose sum is σ = 537438720. Its totient is φ = 43182720.

The previous prime is 166261787. The next prime is 166261789. The reversal of 166261788 is 887162661.

It is a happy number.

166261788 is a `hidden beast` number, since 1 + 6 + 626 + 17 + 8 + 8 = 666.

166261788 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (166261787) and next prime (166261789).

It is a super-3 number, since 3×166261788³ (a number of 26 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166261787) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1681 + ... + 18312.

It is an arithmetic number, because the mean of its divisors is an integer number (5598320).

Almost surely, 2^166261788 is an apocalyptic number.

166261788 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166261788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268719360).

166261788 is an abundant number, since it is smaller than the sum of its proper divisors (371176932).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

166261788 is a wasteful number, since it uses less digits than its factorization.

166261788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20024 (or 20016 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 166261788 is about 12894.2540691581. The cubic root of 166261788 is about 549.8752201779.

The spelling of 166261788 in words is "one hundred sixty-six million, two hundred sixty-one thousand, seven hundred eighty-eight".