10002560 has 32 divisors (see below), whose sum is σ = 23913900. Its totient is φ = 4000768.

The previous prime is 10002547. The next prime is 10002563. The reversal of 10002560 is 6520001.

It can be written as a sum of positive squares in 2 ways, for example, as 9096256 + 906304 = 3016^2 + 952^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (10002563) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7175 + ... + 8454.

Almost surely, 2^10002560 is an apocalyptic number.

10002560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002560 is an abundant number, since it is smaller than the sum of its proper divisors (13911340).

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

10002560 is an equidigital number, since it uses as much as digits as its factorization.

10002560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15648 (or 15636 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 10002560 is about 3162.6824058068. The cubic root of 10002560 is about 215.4618519440.

Adding to 10002560 its reverse (6520001), we get a palindrome (16522561).

It can be divided in two parts, 1000 and 2560, that multiplied together give a 4-th power (2560000 = 40⁴).

The spelling of 10002560 in words is "ten million, two thousand, five hundred sixty".