39986520 has 128 divisors (see below), whose sum is σ = 138378240. Its totient is φ = 9054720.

The previous prime is 39986501. The next prime is 39986591. The reversal of 39986520 is 2568993.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151909 + ... + 152171.

It is an arithmetic number, because the mean of its divisors is an integer number (1081080).

Almost surely, 2^39986520 is an apocalyptic number.

39986520 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 39986520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69189120).

39986520 is an abundant number, since it is smaller than the sum of its proper divisors (98391720).

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

39986520 is a wasteful number, since it uses less digits than its factorization.

39986520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 461 counting only the distinct ones).

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

The square root of 39986520 is about 6323.4895429660. The cubic root of 39986520 is about 341.9567675594.

The spelling of 39986520 in words is "thirty-nine million, nine hundred eighty-six thousand, five hundred twenty".