15252864 has 128 divisors (see below), whose sum is σ = 46414080. Its totient is φ = 4392960.

The previous prime is 15252829. The next prime is 15252871. The reversal of 15252864 is 46825251.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

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, 97074 + ... + 97230.

It is an arithmetic number, because the mean of its divisors is an integer number (362610).

Almost surely, 2^15252864 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 15252864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23207040).

15252864 is an abundant number, since it is smaller than the sum of its proper divisors (31161216).

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

15252864 is a wasteful number, since it uses less digits than its factorization.

15252864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 196 counting only the distinct ones).

The product of its digits is 19200, while the sum is 33.

The square root of 15252864 is about 3905.4915183623. The cubic root of 15252864 is about 247.9993062762. Note that the first 3 decimals are identical.

The spelling of 15252864 in words is "fifteen million, two hundred fifty-two thousand, eight hundred sixty-four".