165596640 has 192 divisors, whose sum is σ = 577704960. Its totient is φ = 39536640.

The previous prime is 165596623. The next prime is 165596681. The reversal of 165596640 is 46695561.

It is a junction number, because it is equal to n+sod(n) for n = 165596592 and 165596601.

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, 416922 + ... + 417318.

It is an arithmetic number, because the mean of its divisors is an integer number (3008880).

Almost surely, 2^165596640 is an apocalyptic number.

165596640 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 165596640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288852480).

165596640 is an abundant number, since it is smaller than the sum of its proper divisors (412108320).

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

165596640 is a wasteful number, since it uses less digits than its factorization.

165596640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 165596640 is about 12868.4358023810. The cubic root of 165596640 is about 549.1409620083.

The spelling of 165596640 in words is "one hundred sixty-five million, five hundred ninety-six thousand, six hundred forty".