15951264 has 72 divisors (see below), whose sum is σ = 48722688. Its totient is φ = 4556160.

The previous prime is 15951263. The next prime is 15951277. The reversal of 15951264 is 46215951.

15951264 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (15951263) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3009 + ... + 6399.

It is an arithmetic number, because the mean of its divisors is an integer number (676704).

Almost surely, 2^15951264 is an apocalyptic number.

15951264 is a gapful number since it is divisible by the number (14) 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 15951264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24361344).

15951264 is an abundant number, since it is smaller than the sum of its proper divisors (32771424).

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

15951264 is a wasteful number, since it uses less digits than its factorization.

15951264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3418 (or 3403 counting only the distinct ones).

The product of its digits is 10800, while the sum is 33.

The square root of 15951264 is about 3993.9033538632. The cubic root of 15951264 is about 251.7281017997.

The spelling of 15951264 in words is "fifteen million, nine hundred fifty-one thousand, two hundred sixty-four".