15873968 has 80 divisors (see below), whose sum is σ = 36426240. Its totient is φ = 6624000.

The previous prime is 15873931. The next prime is 15873973. The reversal of 15873968 is 86937851.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (47).

Its product of digits (362880) is a multiple of the sum of its prime divisors (180).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157118 + ... + 157218.

It is an arithmetic number, because the mean of its divisors is an integer number (455328).

Almost surely, 2^15873968 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 15873968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18213120).

15873968 is an abundant number, since it is smaller than the sum of its proper divisors (20552272).

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

15873968 is a wasteful number, since it uses less digits than its factorization.

15873968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 180 counting only the distinct ones).

The product of its digits is 362880, while the sum is 47.

The square root of 15873968 is about 3984.2148536443. The cubic root of 15873968 is about 251.3208385852.

It can be divided in two parts, 1587 and 3968, that added together give a palindrome (5555).

The spelling of 15873968 in words is "fifteen million, eight hundred seventy-three thousand, nine hundred sixty-eight".