166365900 has 360 divisors, whose sum is σ = 604961280. Its totient is φ = 39346560.

The previous prime is 166365889. The next prime is 166365907. The reversal of 166365900 is 9563661.

166365900 is a `hidden beast` number, since 1 + 6 + 63 + 6 + 590 + 0 = 666.

166365900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×166365900² = 55355225365620000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166365907) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3539677 + ... + 3539723.

It is an arithmetic number, because the mean of its divisors is an integer number (1680448).

Almost surely, 2^166365900 is an apocalyptic number.

166365900 is a gapful number since it is divisible by the number (10) 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 166365900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302480640).

166365900 is an abundant number, since it is smaller than the sum of its proper divisors (438595380).

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

166365900 is a wasteful number, since it uses less digits than its factorization.

166365900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 166365900 is about 12898.2905844147. The cubic root of 166365900 is about 549.9899722690.

The spelling of 166365900 in words is "one hundred sixty-six million, three hundred sixty-five thousand, nine hundred".