166355904 has 224 divisors, whose sum is σ = 530498304. Its totient is φ = 45342720.

The previous prime is 166355899. The next prime is 166355921. The reversal of 166355904 is 409553661.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2004247 + ... + 2004329.

It is an arithmetic number, because the mean of its divisors is an integer number (2368296).

Almost surely, 2^166355904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166355904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265249152).

166355904 is an abundant number, since it is smaller than the sum of its proper divisors (364142400).

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

166355904 is a wasteful number, since it uses less digits than its factorization.

166355904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 166355904 is about 12897.9030853856. The cubic root of 166355904 is about 549.9789567706.

The spelling of 166355904 in words is "one hundred sixty-six million, three hundred fifty-five thousand, nine hundred four".