12992840 has 64 divisors (see below), whose sum is σ = 34128000. Its totient is φ = 4449984.

The previous prime is 12992839. The next prime is 12992851. The reversal of 12992840 is 4829921.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 12992840.

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, 13247 + ... + 14193.

It is an arithmetic number, because the mean of its divisors is an integer number (533250).

Almost surely, 2^12992840 is an apocalyptic number.

12992840 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 12992840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17064000).

12992840 is an abundant number, since it is smaller than the sum of its proper divisors (21135160).

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

12992840 is an equidigital number, since it uses as much as digits as its factorization.

12992840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 12992840 is about 3604.5582253586. The cubic root of 12992840 is about 235.0902927512.

The spelling of 12992840 in words is "twelve million, nine hundred ninety-two thousand, eight hundred forty".