10128560 has 40 divisors (see below), whose sum is σ = 25362960. Its totient is φ = 3739392.

The previous prime is 10128557. The next prime is 10128563. The reversal of 10128560 is 6582101.

It is an interprime number because it is at equal distance from previous prime (10128557) and next prime (10128563).

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (10128563) 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, 3830 + ... + 5909.

It is an arithmetic number, because the mean of its divisors is an integer number (634074).

Almost surely, 2^10128560 is an apocalyptic number.

10128560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10128560 is an abundant number, since it is smaller than the sum of its proper divisors (15234400).

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

10128560 is a wasteful number, since it uses less digits than its factorization.

10128560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9765 (or 9759 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 10128560 is about 3182.5398662075. The cubic root of 10128560 is about 216.3627876786.

The spelling of 10128560 in words is "ten million, one hundred twenty-eight thousand, five hundred sixty".