39987792 has 120 divisors (see below), whose sum is σ = 123695208. Its totient is φ = 11980800.

The previous prime is 39987763. The next prime is 39987797. The reversal of 39987792 is 29778993.

It can be written as a sum of positive squares in 4 ways, for example, as 1498176 + 38489616 = 1224^2 + 6204^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39987797) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76492 + ... + 77012.

Almost surely, 2^39987792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39987792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61847604).

39987792 is an abundant number, since it is smaller than the sum of its proper divisors (83707416).

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

39987792 is a wasteful number, since it uses less digits than its factorization.

39987792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 580 counting only the distinct ones).

The product of its digits is 1714608, while the sum is 54.

The square root of 39987792 is about 6323.5901195444. The cubic root of 39987792 is about 341.9603934846.

The spelling of 39987792 in words is "thirty-nine million, nine hundred eighty-seven thousand, seven hundred ninety-two".