165942432 has 120 divisors (see below), whose sum is σ = 495281556. Its totient is φ = 54494208.

The previous prime is 165942419. The next prime is 165942463. The reversal of 165942432 is 234249561.

It is a happy number.

165942432 is a `hidden beast` number, since 16 + 594 + 24 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 157854096 + 8088336 = 12564^2 + 2844^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 188778 + ... + 189654.

Almost surely, 2^165942432 is an apocalyptic number.

165942432 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 165942432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247640778).

165942432 is an abundant number, since it is smaller than the sum of its proper divisors (329339124).

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

165942432 is an equidigital number, since it uses as much as digits as its factorization.

165942432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 955 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 165942432 is about 12881.8644613270. The cubic root of 165942432 is about 549.5229273514.

The spelling of 165942432 in words is "one hundred sixty-five million, nine hundred forty-two thousand, four hundred thirty-two".