13620864 has 64 divisors (see below), whose sum is σ = 36720000. Its totient is φ = 4472832.

The previous prime is 13620857. The next prime is 13620869. The reversal of 13620864 is 46802631.

13620864 is digitally balanced in base 2, because in such base 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 (64).

It is a super-2 number, since 2×13620864² = 371055872212992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13620869) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30112 + ... + 30560.

It is an arithmetic number, because the mean of its divisors is an integer number (573750).

Almost surely, 2^13620864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13620864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18360000).

13620864 is an abundant number, since it is smaller than the sum of its proper divisors (23099136).

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

13620864 is an equidigital number, since it uses as much as digits as its factorization.

13620864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 13620864 is about 3690.6454720008. The cubic root of 13620864 is about 238.8186389274.

The spelling of 13620864 in words is "thirteen million, six hundred twenty thousand, eight hundred sixty-four".