15120768 has 96 divisors (see below), whose sum is σ = 43678440. Its totient is φ = 4632576.

The previous prime is 15120757. The next prime is 15120779. The reversal of 15120768 is 86702151.

It is an interprime number because it is at equal distance from previous prime (15120757) and next prime (15120779).

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

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 11 ways as a sum of consecutive naturals, for example, 64780 + ... + 65012.

Almost surely, 2^15120768 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 15120768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21839220).

15120768 is an abundant number, since it is smaller than the sum of its proper divisors (28557672).

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

15120768 is a wasteful number, since it uses less digits than its factorization.

15120768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 15120768 is about 3888.5431719347. The cubic root of 15120768 is about 247.2813046202.

The spelling of 15120768 in words is "fifteen million, one hundred twenty thousand, seven hundred sixty-eight".