653106564 has 240 divisors, whose sum is σ = 1975881600. Its totient is φ = 186278400.

The previous prime is 653106557. The next prime is 653106569. The reversal of 653106564 is 465601356.

653106564 is a `hidden beast` number, since 6 + 531 + 0 + 65 + 64 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (653106569) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7338232 + ... + 7338320.

It is an arithmetic number, because the mean of its divisors is an integer number (8232840).

Almost surely, 2^653106564 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 653106564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987940800).

653106564 is an abundant number, since it is smaller than the sum of its proper divisors (1322775036).

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

653106564 is a wasteful number, since it uses less digits than its factorization.

653106564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 653106564 is about 25555.9496790865. The cubic root of 653106564 is about 867.6169266051.

The spelling of 653106564 in words is "six hundred fifty-three million, one hundred six thousand, five hundred sixty-four".