165210656 has 96 divisors (see below), whose sum is σ = 377975808. Its totient is φ = 70456320.

The previous prime is 165210653. The next prime is 165210659. The reversal of 165210656 is 656012561.

It is an interprime number because it is at equal distance from previous prime (165210653) and next prime (165210659).

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (165210653) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 296330 + ... + 296886.

It is an arithmetic number, because the mean of its divisors is an integer number (3937248).

Almost surely, 2^165210656 is an apocalyptic number.

165210656 is a gapful number since it is divisible by the number (16) 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 165210656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188987904).

165210656 is an abundant number, since it is smaller than the sum of its proper divisors (212765152).

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

165210656 is a wasteful number, since it uses less digits than its factorization.

165210656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

The square root of 165210656 is about 12853.4297368446. The cubic root of 165210656 is about 548.7139716177.

The spelling of 165210656 in words is "one hundred sixty-five million, two hundred ten thousand, six hundred fifty-six".