165015360 has 224 divisors, whose sum is σ = 592531200. Its totient is φ = 43223040.

The previous prime is 165015353. The next prime is 165015401. The reversal of 165015360 is 63510561.

It is a happy number.

165015360 is a `hidden beast` number, since 1 + 650 + 1 + 5 + 3 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 613306 + ... + 613574.

Almost surely, 2^165015360 is an apocalyptic number.

165015360 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 165015360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296265600).

165015360 is an abundant number, since it is smaller than the sum of its proper divisors (427515840).

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

165015360 is a wasteful number, since it uses less digits than its factorization.

165015360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 165015360 is about 12845.8304519404. The cubic root of 165015360 is about 548.4976742361.

The spelling of 165015360 in words is "one hundred sixty-five million, fifteen thousand, three hundred sixty".