166874400 has 648 divisors, whose sum is σ = 764107344. Its totient is φ = 33868800.

The previous prime is 166874399. The next prime is 166874413. The reversal of 166874400 is 4478661.

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3880779 + ... + 3880821.

It is an arithmetic number, because the mean of its divisors is an integer number (1179178).

Almost surely, 2^166874400 is an apocalyptic number.

166874400 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 166874400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382053672).

166874400 is an abundant number, since it is smaller than the sum of its proper divisors (597232944).

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

166874400 is a wasteful number, since it uses less digits than its factorization.

166874400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 166874400 is about 12917.9874593529. The cubic root of 166874400 is about 550.5497533404.

The spelling of 166874400 in words is "one hundred sixty-six million, eight hundred seventy-four thousand, four hundred".