264389664 has 192 divisors, whose sum is σ = 884846592. Its totient is φ = 67123200.

The previous prime is 264389663. The next prime is 264389681. The reversal of 264389664 is 466983462.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (264389663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 347044 + ... + 347804.

It is an arithmetic number, because the mean of its divisors is an integer number (4608576).

Almost surely, 2^264389664 is an apocalyptic number.

264389664 is a gapful number since it is divisible by the number (24) 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 264389664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442423296).

264389664 is an abundant number, since it is smaller than the sum of its proper divisors (620456928).

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

264389664 is a wasteful number, since it uses less digits than its factorization.

264389664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 831 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 48.

The square root of 264389664 is about 16260.0634685108. The cubic root of 264389664 is about 641.8223322187.

The spelling of 264389664 in words is "two hundred sixty-four million, three hundred eighty-nine thousand, six hundred sixty-four".