923564664 has 192 divisors, whose sum is σ = 2856522240. Its totient is φ = 267079680.

The previous prime is 923564657. The next prime is 923564671. The reversal of 923564664 is 466465329.

923564664 is a `hidden beast` number, since 9 + 23 + 564 + 6 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (923564657) and next prime (923564671).

It is a congruent number.

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, 1600344 + ... + 1600920.

It is an arithmetic number, because the mean of its divisors is an integer number (14877720).

Almost surely, 2^923564664 is an apocalyptic number.

923564664 is a gapful number since it is divisible by the number (94) 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 923564664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428261120).

923564664 is an abundant number, since it is smaller than the sum of its proper divisors (1932957576).

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

923564664 is a wasteful number, since it uses less digits than its factorization.

923564664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 683 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The square root of 923564664 is about 30390.2067120314. The cubic root of 923564664 is about 973.8433495032.

It can be divided in two parts, 92356 and 4664, that added together give a triangular number (97020 = T₄₄₀).

The spelling of 923564664 in words is "nine hundred twenty-three million, five hundred sixty-four thousand, six hundred sixty-four".