5164656 has 80 divisors (see below), whose sum is σ = 16070400. Its totient is φ = 1396224.

The previous prime is 5164619. The next prime is 5164657. The reversal of 5164656 is 6564615.

5164656 = T₂₂₁ + T₂₂₂ + ... + T₃₄₆.

5164656 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

5164656 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5164657) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5980 + ... + 6788.

It is an arithmetic number, because the mean of its divisors is an integer number (200880).

Almost surely, 2^5164656 is an apocalyptic number.

5164656 is a gapful number since it is divisible by the number (56) 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 5164656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8035200).

5164656 is an abundant number, since it is smaller than the sum of its proper divisors (10905744).

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

5164656 is a wasteful number, since it uses less digits than its factorization.

5164656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 840 counting only the distinct ones).

The product of its digits is 21600, while the sum is 33.

The square root of 5164656 is about 2272.5879520934. The cubic root of 5164656 is about 172.8544110203.

The spelling of 5164656 in words is "five million, one hundred sixty-four thousand, six hundred fifty-six".