264640896 has 192 divisors, whose sum is σ = 842063040. Its totient is φ = 79257600.

The previous prime is 264640891. The next prime is 264640897. The reversal of 264640896 is 698046462.

It is a tau number, because it is divible by the number of its divisors (192).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264640891) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 613801 + ... + 614231.

It is an arithmetic number, because the mean of its divisors is an integer number (4385745).

Almost surely, 2^264640896 is an apocalyptic number.

264640896 is a gapful number since it is divisible by the number (26) 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 264640896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421031520).

264640896 is an abundant number, since it is smaller than the sum of its proper divisors (577422144).

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

264640896 is a wasteful number, since it uses less digits than its factorization.

264640896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 264640896 is about 16267.7870652403. The cubic root of 264640896 is about 642.0255616223.

The spelling of 264640896 in words is "two hundred sixty-four million, six hundred forty thousand, eight hundred ninety-six".