166521600 has 486 divisors, whose sum is σ = 704290860. Its totient is φ = 37416960.

The previous prime is 166521533. The next prime is 166521617. The reversal of 166521600 is 6125661.

It is a happy number.

166521600 is a `hidden beast` number, since 1 + 6 + 6 + 52 + 1 + 600 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2822371 + ... + 2822429.

Almost surely, 2^166521600 is an apocalyptic number.

166521600 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 166521600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352145430).

166521600 is an abundant number, since it is smaller than the sum of its proper divisors (537769260).

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

166521600 is a wasteful number, since it uses less digits than its factorization.

166521600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 166521600 is about 12904.3248564193. The cubic root of 166521600 is about 550.1614952756.

The spelling of 166521600 in words is "one hundred sixty-six million, five hundred twenty-one thousand, six hundred".