13457664 has 180 divisors, whose sum is σ = 44518320. Its totient is φ = 4008960.

The previous prime is 13457629. The next prime is 13457713. The reversal of 13457664 is 46675431.

It is a happy number.

It is a super-2 number, since 2×13457664² = 362217440673792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 228067 + ... + 228125.

It is an arithmetic number, because the mean of its divisors is an integer number (247324).

Almost surely, 2^13457664 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 13457664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22259160).

13457664 is an abundant number, since it is smaller than the sum of its proper divisors (31060656).

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

13457664 is an equidigital number, since it uses as much as digits as its factorization.

13457664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 75 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 13457664 is about 3668.4688904228. The cubic root of 13457664 is about 237.8609926679.

It can be divided in two parts, 1345 and 7664, that added together give a palindrome (9009).

The spelling of 13457664 in words is "thirteen million, four hundred fifty-seven thousand, six hundred sixty-four".