15968016 has 105 divisors (see below), whose sum is σ = 47673381. Its totient is φ = 5178816.

The previous prime is 15968011. The next prime is 15968021. The reversal of 15968016 is 61086951.

The square root of 15968016 is 3996.

It is a perfect power (a square), and thus also a powerful number.

15968016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (15968011) and next prime (15968021).

It can be written as a sum of positive squares in only one way, i.e., 14288400 + 1679616 = 3780^2 + 1296^2 .

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 (15968011) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 431550 + ... + 431586.

Almost surely, 2^15968016 is an apocalyptic number.

15968016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

15968016 is the 3996-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15968016

15968016 is an abundant number, since it is smaller than the sum of its proper divisors (31705365).

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

15968016 is an frugal number, since it uses more digits than its factorization.

15968016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The cubic root of 15968016 is about 251.8161924950.

Multiplying 15968016 by its sum of digits (36), we get a square (574848576 = 23976²).

15968016 divided by its sum of digits (36) gives a square (443556 = 666²).

The spelling of 15968016 in words is "fifteen million, nine hundred sixty-eight thousand, sixteen".