16015968 has 120 divisors (see below), whose sum is σ = 48665232. Its totient is φ = 5163264.

The previous prime is 16015957. The next prime is 16015973. The reversal of 16015968 is 86951061.

16015968 is a `hidden beast` number, since 1 + 60 + 1 + 596 + 8 = 666.

It is a super-2 number, since 2×16015968² = 513022461954048, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 95821 + ... + 95987.

Almost surely, 2^16015968 is an apocalyptic number.

16015968 is a gapful number since it is divisible by the number (18) 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 16015968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24332616).

16015968 is an abundant number, since it is smaller than the sum of its proper divisors (32649264).

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

16015968 is a wasteful number, since it uses less digits than its factorization.

16015968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 209 counting only the distinct ones).

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

The square root of 16015968 is about 4001.9955022463. The cubic root of 16015968 is about 252.0680088552.

Adding to 16015968 its sum of digits (36), we get a square (16016004 = 4002²).

Subtracting from 16015968 its product of nonzero digits (12960), we obtain a cube (16003008 = 252³).

It can be divided in two parts, 1601 and 5968, that added together give a square (7569 = 87²).

The spelling of 16015968 in words is "sixteen million, fifteen thousand, nine hundred sixty-eight".