13492864 has 96 divisors (see below), whose sum is σ = 34443360. Its totient is φ = 5114880.

The previous prime is 13492837. The next prime is 13492873. The reversal of 13492864 is 46829431.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 364654 + ... + 364690.

It is an arithmetic number, because the mean of its divisors is an integer number (358785).

Almost surely, 2^13492864 is an apocalyptic number.

13492864 is a gapful number since it is divisible by the number (14) 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 13492864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17221680).

13492864 is an abundant number, since it is smaller than the sum of its proper divisors (20950496).

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

13492864 is an equidigital number, since it uses as much as digits as its factorization.

13492864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 57 counting only the distinct ones).

The product of its digits is 41472, while the sum is 37.

The square root of 13492864 is about 3673.2633992133. The cubic root of 13492864 is about 238.0681959789.

The spelling of 13492864 in words is "thirteen million, four hundred ninety-two thousand, eight hundred sixty-four".