5646564 has 144 divisors (see below), whose sum is σ = 18768960. Its totient is φ = 1451520.

The previous prime is 5646551. The next prime is 5646577. The reversal of 5646564 is 4656465.

It is a happy number.

5646564 is a `hidden beast` number, since 5 + 646 + 5 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (5646551) and next prime (5646577).

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

Its product of digits (86400) is a multiple of the sum of its prime divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58164 + ... + 58260.

It is an arithmetic number, because the mean of its divisors is an integer number (130340).

Almost surely, 2^5646564 is an apocalyptic number.

5646564 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 5646564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9384480).

5646564 is an abundant number, since it is smaller than the sum of its proper divisors (13122396).

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

5646564 is a wasteful number, since it uses less digits than its factorization.

5646564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 120 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 5646564 is about 2376.2499868490. The cubic root of 5646564 is about 178.0716372007.

Subtracting from 5646564 its product of digits (86400), we obtain a square (5560164 = 2358²).

Subtracting from 5646564 its reverse (4656465), we obtain a palindrome (990099).

The spelling of 5646564 in words is "five million, six hundred forty-six thousand, five hundred sixty-four".