15883920 has 120 divisors (see below), whose sum is σ = 57480696. Its totient is φ = 3907584.

The previous prime is 15883883. The next prime is 15883927. The reversal of 15883920 is 2938851.

15883920 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2663424 + 13220496 = 1632^2 + 3636^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (15883927) 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, 8512 + ... + 10208.

Almost surely, 2^15883920 is an apocalyptic number.

15883920 is a gapful number since it is divisible by the number (10) 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 15883920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28740348).

15883920 is an abundant number, since it is smaller than the sum of its proper divisors (41596776).

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

15883920 is a wasteful number, since it uses less digits than its factorization.

15883920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1729 (or 1720 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 15883920 is about 3985.4635865856. The cubic root of 15883920 is about 251.3733485075.

The spelling of 15883920 in words is "fifteen million, eight hundred eighty-three thousand, nine hundred twenty".