39918960 has 80 divisors (see below), whose sum is σ = 137506080. Its totient is φ = 10644480.

The previous prime is 39918959. The next prime is 39918971. The reversal of 39918960 is 6981993.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 7081 + ... + 11400.

It is an arithmetic number, because the mean of its divisors is an integer number (1718826).

Almost surely, 2^39918960 is an apocalyptic number.

39918960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

39918960 is an abundant number, since it is smaller than the sum of its proper divisors (97587120).

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

39918960 is a wasteful number, since it uses less digits than its factorization.

39918960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18503 (or 18491 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 39918960 is about 6318.1452974746. The cubic root of 39918960 is about 341.7640724329.

The spelling of 39918960 in words is "thirty-nine million, nine hundred eighteen thousand, nine hundred sixty".