39685920 has 96 divisors (see below), whose sum is σ = 129366720. Its totient is φ = 10214400.

The previous prime is 39685913. The next prime is 39685957. The reversal of 39685920 is 2958693.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12495 + ... + 15345.

It is an arithmetic number, because the mean of its divisors is an integer number (1347570).

Almost surely, 2^39685920 is an apocalyptic number.

39685920 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 39685920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64683360).

39685920 is an abundant number, since it is smaller than the sum of its proper divisors (89680800).

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

39685920 is a wasteful number, since it uses less digits than its factorization.

39685920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2898 (or 2890 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 39685920 is about 6299.6761821541. The cubic root of 39685920 is about 341.0977208374.

The spelling of 39685920 in words is "thirty-nine million, six hundred eighty-five thousand, nine hundred twenty".