15070080 has 128 divisors (see below), whose sum is σ = 49351680. Its totient is φ = 3909632.

The previous prime is 15070079. The next prime is 15070141. The reversal of 15070080 is 8007051.

It is a happy number.

15070080 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 (128).

It is a super-2 number, since 2×15070080² = 454214622412800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90157 + ... + 90323.

It is an arithmetic number, because the mean of its divisors is an integer number (385560).

Almost surely, 2^15070080 is an apocalyptic number.

15070080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15070080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24675840).

15070080 is an abundant number, since it is smaller than the sum of its proper divisors (34281600).

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

15070080 is a wasteful number, since it uses less digits than its factorization.

15070080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 15070080 is about 3882.0200926837. The cubic root of 15070080 is about 247.0046822805.

The spelling of 15070080 in words is "fifteen million, seventy thousand, eighty".