165894400 has 243 divisors, whose sum is σ = 499324161. Its totient is φ = 54405120.

The previous prime is 165894373. The next prime is 165894401. The reversal of 165894400 is 4498561.

165894400 = 1³ + 2³ + ... + 160³.

It is a happy number.

The square root of 165894400 is 12880.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 59721984 + 106172416 = 7728^2 + 10304^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 165894400.

It is not an unprimeable number, because it can be changed into a prime (165894401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7212789 + ... + 7212811.

Almost surely, 2^165894400 is an apocalyptic number.

165894400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

165894400 is the 12880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165894400

165894400 is an abundant number, since it is smaller than the sum of its proper divisors (333429761).

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

165894400 is an equidigital number, since it uses as much as digits as its factorization.

165894400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The cubic root of 165894400 is about 549.4699024720.

The spelling of 165894400 in words is "one hundred sixty-five million, eight hundred ninety-four thousand, four hundred".