165427200 has 216 divisors, whose sum is σ = 594102600. Its totient is φ = 43991040.

The previous prime is 165427177. The next prime is 165427211. The reversal of 165427200 is 2724561.

165427200 is a `hidden beast` number, since 1 + 654 + 2 + 7 + 2 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 460621 + ... + 460979.

It is an arithmetic number, because the mean of its divisors is an integer number (2750475).

Almost surely, 2^165427200 is an apocalyptic number.

165427200 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 165427200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297051300).

165427200 is an abundant number, since it is smaller than the sum of its proper divisors (428675400).

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

165427200 is a wasteful number, since it uses less digits than its factorization.

165427200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 165427200 is about 12861.8505666953. The cubic root of 165427200 is about 548.9536027359.

The spelling of 165427200 in words is "one hundred sixty-five million, four hundred twenty-seven thousand, two hundred".