15080768 has 56 divisors (see below), whose sum is σ = 32260032. Its totient is φ = 6969344.

The previous prime is 15080759. The next prime is 15080777. The reversal of 15080768 is 86708051.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (15080759) and next prime (15080777).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

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, 90221 + ... + 90387.

It is an arithmetic number, because the mean of its divisors is an integer number (576072).

Almost surely, 2^15080768 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 15080768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16130016).

15080768 is an abundant number, since it is smaller than the sum of its proper divisors (17179264).

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

15080768 is a wasteful number, since it uses less digits than its factorization.

15080768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 35.

The square root of 15080768 is about 3883.3964515614. The cubic root of 15080768 is about 247.0630620232.

The spelling of 15080768 in words is "fifteen million, eighty thousand, seven hundred sixty-eight".