15631968 has 96 divisors (see below), whose sum is σ = 45505152. Its totient is φ = 4659200.

The previous prime is 15631961. The next prime is 15631981. The reversal of 15631968 is 86913651.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15631961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119263 + ... + 119393.

It is an arithmetic number, because the mean of its divisors is an integer number (474012).

Almost surely, 2^15631968 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 15631968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22752576).

15631968 is an abundant number, since it is smaller than the sum of its proper divisors (29873184).

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

15631968 is a wasteful number, since it uses less digits than its factorization.

15631968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 260 counting only the distinct ones).

The product of its digits is 38880, while the sum is 39.

The square root of 15631968 is about 3953.7283669974. The cubic root of 15631968 is about 250.0371571438.

The spelling of 15631968 in words is "fifteen million, six hundred thirty-one thousand, nine hundred sixty-eight".