15787968 has 112 divisors (see below), whose sum is σ = 50621184. Its totient is φ = 4239360.

The previous prime is 15787939. The next prime is 15787969. The reversal of 15787968 is 86978751.

15787968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (51).

Its product of digits (846720) is a multiple of the sum of its prime divisors (720).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 15787968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15787969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22503 + ... + 23193.

Almost surely, 2^15787968 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 15787968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25310592).

15787968 is an abundant number, since it is smaller than the sum of its proper divisors (34833216).

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

15787968 is a wasteful number, since it uses less digits than its factorization.

15787968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 720 counting only the distinct ones).

The product of its digits is 846720, while the sum is 51.

The square root of 15787968 is about 3973.4076055698. The cubic root of 15787968 is about 250.8661582803.

The spelling of 15787968 in words is "fifteen million, seven hundred eighty-seven thousand, nine hundred sixty-eight".