165992832 has 96 divisors (see below), whose sum is σ = 483327000. Its totient is φ = 54675456.

The previous prime is 165992831. The next prime is 165992837. The reversal of 165992832 is 238299561.

165992832 is a `hidden beast` number, since 1 + 6 + 599 + 28 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

Its product of digits (233280) is a multiple of the sum of its prime factors (1728).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165992831) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101719 + ... + 103337.

Almost surely, 2^165992832 is an apocalyptic number.

165992832 is a gapful number since it is divisible by the number (12) 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 165992832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241663500).

165992832 is an abundant number, since it is smaller than the sum of its proper divisors (317334168).

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

165992832 is a wasteful number, since it uses less digits than its factorization.

165992832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1728 (or 1713 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 165992832 is about 12883.8205513737. The cubic root of 165992832 is about 549.5785553820.

The spelling of 165992832 in words is "one hundred sixty-five million, nine hundred ninety-two thousand, eight hundred thirty-two".