10612560 has 80 divisors (see below), whose sum is σ = 37604736. Its totient is φ = 2425344.

The previous prime is 10612559. The next prime is 10612601. The reversal of 10612560 is 6521601.

It is a happy number.

10612560 is digitally balanced in base 2 and base 4, because in such bases 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 (80).

It is a super-2 number, since 2×10612560² = 225252859507200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 1479 + ... + 4838.

Almost surely, 2^10612560 is an apocalyptic number.

10612560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10612560 is an abundant number, since it is smaller than the sum of its proper divisors (26992176).

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

10612560 is a wasteful number, since it uses less digits than its factorization.

10612560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6340 (or 6334 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 10612560 is about 3257.6924348379. The cubic root of 10612560 is about 219.7556515739.

The spelling of 10612560 in words is "ten million, six hundred twelve thousand, five hundred sixty".