166002400 has 72 divisors (see below), whose sum is σ = 412239240. Its totient is φ = 65256960.

The previous prime is 166002391. The next prime is 166002401. The reversal of 166002400 is 4200661.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166002401) 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, 45442 + ... + 48958.

It is an arithmetic number, because the mean of its divisors is an integer number (5725545).

Almost surely, 2^166002400 is an apocalyptic number.

166002400 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 166002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206119620).

166002400 is an abundant number, since it is smaller than the sum of its proper divisors (246236840).

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

166002400 is a wasteful number, since it uses less digits than its factorization.

166002400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3596 (or 3583 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 166002400 is about 12884.1918644516. The cubic root of 166002400 is about 549.5891146062.

The spelling of 166002400 in words is "one hundred sixty-six million, two thousand, four hundred".