13279400 has 48 divisors (see below), whose sum is σ = 31367040. Its totient is φ = 5227200.

The previous prime is 13279391. The next prime is 13279403. The reversal of 13279400 is 497231.

It is a self number, because there is not a number n which added to its sum of digits gives 13279400.

It is not an unprimeable number, because it can be changed into a prime (13279403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12905 + ... + 13895.

It is an arithmetic number, because the mean of its divisors is an integer number (653480).

Almost surely, 2^13279400 is an apocalyptic number.

13279400 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 13279400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15683520).

13279400 is an abundant number, since it is smaller than the sum of its proper divisors (18087640).

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

13279400 is a wasteful number, since it uses less digits than its factorization.

13279400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 13279400 is about 3644.0911075329. The cubic root of 13279400 is about 236.8060630448.

The spelling of 13279400 in words is "thirteen million, two hundred seventy-nine thousand, four hundred".