39630960 has 120 divisors (see below), whose sum is σ = 140147280. Its totient is φ = 10008576.

The previous prime is 39630919. The next prime is 39630971. The reversal of 39630960 is 6903693.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×39630960² = 3141225981043200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12232 + ... + 15128.

It is an arithmetic number, because the mean of its divisors is an integer number (1167894).

Almost surely, 2^39630960 is an apocalyptic number.

39630960 is a gapful number since it is divisible by the number (30) 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 39630960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70073640).

39630960 is an abundant number, since it is smaller than the sum of its proper divisors (100516320).

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

39630960 is a wasteful number, since it uses less digits than its factorization.

39630960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2935 (or 2926 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The square root of 39630960 is about 6295.3125418838. The cubic root of 39630960 is about 340.9401889692.

The spelling of 39630960 in words is "thirty-nine million, six hundred thirty thousand, nine hundred sixty".