5357664 has 144 divisors (see below), whose sum is σ = 17336592. Its totient is φ = 1617408.

The previous prime is 5357657. The next prime is 5357683. The reversal of 5357664 is 4667535.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101062 + ... + 101114.

It is an arithmetic number, because the mean of its divisors is an integer number (120393).

Almost surely, 2^5357664 is an apocalyptic number.

5357664 is a gapful number since it is divisible by the number (54) 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 5357664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8668296).

5357664 is an abundant number, since it is smaller than the sum of its proper divisors (11978928).

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

5357664 is a wasteful number, since it uses less digits than its factorization.

5357664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 71 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 5357664 is about 2314.6628264177. The cubic root of 5357664 is about 174.9813748886.

The spelling of 5357664 in words is "five million, three hundred fifty-seven thousand, six hundred sixty-four".