165262656 has 112 divisors (see below), whose sum is σ = 477869504. Its totient is φ = 50098176.

The previous prime is 165262651. The next prime is 165262679. The reversal of 165262656 is 656262561.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165262651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181755 + ... + 182661.

It is an arithmetic number, because the mean of its divisors is an integer number (4266692).

Almost surely, 2^165262656 is an apocalyptic number.

165262656 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 165262656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238934752).

165262656 is an abundant number, since it is smaller than the sum of its proper divisors (312606848).

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

165262656 is a wasteful number, since it uses less digits than its factorization.

165262656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 998 counting only the distinct ones).

The product of its digits is 129600, while the sum is 39.

The square root of 165262656 is about 12855.4523841054. The cubic root of 165262656 is about 548.7715347599.

The spelling of 165262656 in words is "one hundred sixty-five million, two hundred sixty-two thousand, six hundred fifty-six".