165632040 has 320 divisors, whose sum is σ = 651657600. Its totient is φ = 36951552.

The previous prime is 165632023. The next prime is 165632053. The reversal of 165632040 is 40236561.

165632040 is a `hidden beast` number, since 1 + 656 + 3 + 2 + 0 + 4 + 0 = 666.

165632040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 165631995 and 165632013.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1519506 + ... + 1519614.

It is an arithmetic number, because the mean of its divisors is an integer number (2036430).

Almost surely, 2^165632040 is an apocalyptic number.

165632040 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 165632040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325828800).

165632040 is an abundant number, since it is smaller than the sum of its proper divisors (486025560).

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

165632040 is a wasteful number, since it uses less digits than its factorization.

165632040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 165632040 is about 12869.8111874262. The cubic root of 165632040 is about 549.1800896239.

The spelling of 165632040 in words is "one hundred sixty-five million, six hundred thirty-two thousand, forty".