166856400 has 90 divisors (see below), whose sum is σ = 579050550. Its totient is φ = 44494080.

The previous prime is 166856387. The next prime is 166856419. The reversal of 166856400 is 4658661.

166856400 is a `hidden beast` number, since 1 + 6 + 6 + 8 + 5 + 640 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1065024 + 165791376 = 1032^2 + 12876^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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 an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 19575 + ... + 26774.

It is an arithmetic number, because the mean of its divisors is an integer number (6433895).

Almost surely, 2^166856400 is an apocalyptic number.

166856400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166856400 is an abundant number, since it is smaller than the sum of its proper divisors (412194150).

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

166856400 is a wasteful number, since it uses less digits than its factorization.

166856400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46373 (or 46359 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 166856400 is about 12917.2907376121. The cubic root of 166856400 is about 550.5299575102.

The spelling of 166856400 in words is "one hundred sixty-six million, eight hundred fifty-six thousand, four hundred".