39889920 has 264 divisors, whose sum is σ = 151215984. Its totient is φ = 8945664.

The previous prime is 39889919. The next prime is 39889937. The reversal of 39889920 is 2998893.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 39889920.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 752614 + ... + 752666.

Almost surely, 2^39889920 is an apocalyptic number.

39889920 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 39889920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75607992).

39889920 is an abundant number, since it is smaller than the sum of its proper divisors (111326064).

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

39889920 is a wasteful number, since it uses less digits than its factorization.

39889920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 48.

The square root of 39889920 is about 6315.8467365825. The cubic root of 39889920 is about 341.6811775184.

The spelling of 39889920 in words is "thirty-nine million, eight hundred eighty-nine thousand, nine hundred twenty".