15981672 has 64 divisors (see below), whose sum is σ = 45964800. Its totient is φ = 4536000.

The previous prime is 15981659. The next prime is 15981701. The reversal of 15981672 is 27618951.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 15981672.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41979 + ... + 42357.

It is an arithmetic number, because the mean of its divisors is an integer number (718200).

Almost surely, 2^15981672 is an apocalyptic number.

15981672 is a gapful number since it is divisible by the number (12) 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 15981672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22982400).

15981672 is an abundant number, since it is smaller than the sum of its proper divisors (29983128).

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

15981672 is a wasteful number, since it uses less digits than its factorization.

15981672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 642 counting only the distinct ones).

The product of its digits is 30240, while the sum is 39.

The square root of 15981672 is about 3997.7083435388. The cubic root of 15981672 is about 251.8879572463.

It can be divided in two parts, 15981 and 672, that added together give a triangular number (16653 = T₁₈₂).

The spelling of 15981672 in words is "fifteen million, nine hundred eighty-one thousand, six hundred seventy-two".