12610920 has 64 divisors (see below), whose sum is σ = 43240320. Its totient is φ = 2882304.

The previous prime is 12610919. The next prime is 12610921. The reversal of 12610920 is 2901621.

It is an interprime number because it is at equal distance from previous prime (12610919) and next prime (12610921).

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

It is not an unprimeable number, because it can be changed into a prime (12610921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6667 + ... + 8346.

It is an arithmetic number, because the mean of its divisors is an integer number (675630).

Almost surely, 2^12610920 is an apocalyptic number.

12610920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12610920 is an abundant number, since it is smaller than the sum of its proper divisors (30629400).

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

12610920 is a wasteful number, since it uses less digits than its factorization.

12610920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15034 (or 15030 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 12610920 is about 3551.1857174752. The cubic root of 12610920 is about 232.7638812188.

It can be divided in two parts, 12610 and 920, that added together give a triangular number (13530 = T₁₆₄).

The spelling of 12610920 in words is "twelve million, six hundred ten thousand, nine hundred twenty".