15085952 has 64 divisors (see below), whose sum is σ = 34884000. Its totient is φ = 6365184.

The previous prime is 15085937. The next prime is 15085969. The reversal of 15085952 is 25958051.

It is a tau number, because it is divible by the number of its divisors (64).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101174 + ... + 101322.

Almost surely, 2^15085952 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 15085952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17442000).

15085952 is an abundant number, since it is smaller than the sum of its proper divisors (19798048).

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

15085952 is a wasteful number, since it uses less digits than its factorization.

15085952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 35.

The square root of 15085952 is about 3884.0638511744. The cubic root of 15085952 is about 247.0913680128.

The spelling of 15085952 in words is "fifteen million, eighty-five thousand, nine hundred fifty-two".