166261600 has 72 divisors (see below), whose sum is σ = 412661088. Its totient is φ = 65395200.

The previous prime is 166261573. The next prime is 166261603. The reversal of 166261600 is 6162661.

166261600 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (28) 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 (166261603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47097 + ... + 50503.

It is an arithmetic number, because the mean of its divisors is an integer number (5731404).

Almost surely, 2^166261600 is an apocalyptic number.

166261600 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 166261600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206330544).

166261600 is an abundant number, since it is smaller than the sum of its proper divisors (246399488).

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

166261600 is a wasteful number, since it uses less digits than its factorization.

166261600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3488 (or 3475 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 166261600 is about 12894.2467790872. The cubic root of 166261600 is about 549.8750129212.

The spelling of 166261600 in words is "one hundred sixty-six million, two hundred sixty-one thousand, six hundred".