39132960 has 48 divisors (see below), whose sum is σ = 123270336. Its totient is φ = 10435328.

The previous prime is 39132953. The next prime is 39132971. The reversal of 39132960 is 6923193.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40284 + ... + 41243.

It is an arithmetic number, because the mean of its divisors is an integer number (2568132).

Almost surely, 2^39132960 is an apocalyptic number.

39132960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

39132960 is an abundant number, since it is smaller than the sum of its proper divisors (84137376).

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

39132960 is a wasteful number, since it uses less digits than its factorization.

39132960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81545 (or 81537 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 33.

The square root of 39132960 is about 6255.6342604088. The cubic root of 39132960 is about 339.5060879249.

The spelling of 39132960 in words is "thirty-nine million, one hundred thirty-two thousand, nine hundred sixty".