39872640 has 128 divisors (see below), whose sum is σ = 133905600. Its totient is φ = 10063872.

The previous prime is 39872597. The next prime is 39872647. The reversal of 39872640 is 4627893.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (39872647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35934 + ... + 37026.

Almost surely, 2^39872640 is an apocalyptic number.

39872640 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 39872640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66952800).

39872640 is an abundant number, since it is smaller than the sum of its proper divisors (94032960).

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

39872640 is a wasteful number, since it uses less digits than its factorization.

39872640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1122 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 39872640 is about 6314.4786008031. The cubic root of 39872640 is about 341.6318325251.

The spelling of 39872640 in words is "thirty-nine million, eight hundred seventy-two thousand, six hundred forty".