15034080 has 48 divisors (see below), whose sum is σ = 47358864. Its totient is φ = 4008960.

The previous prime is 15034067. The next prime is 15034081. The reversal of 15034080 is 8043051.

15034080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×15034080² = 452047122892800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15034081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15181 + ... + 16140.

It is an arithmetic number, because the mean of its divisors is an integer number (986643).

Almost surely, 2^15034080 is an apocalyptic number.

15034080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15034080 is an abundant number, since it is smaller than the sum of its proper divisors (32324784).

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

15034080 is a wasteful number, since it uses less digits than its factorization.

15034080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31339 (or 31331 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 15034080 is about 3877.3805590888. The cubic root of 15034080 is about 246.8078406219.

The spelling of 15034080 in words is "fifteen million, thirty-four thousand, eighty".