264783680 has 112 divisors (see below), whose sum is σ = 737616000. Its totient is φ = 88639488.

The previous prime is 264783671. The next prime is 264783683. The reversal of 264783680 is 86387462.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×264783680² = 140220794388684800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264783683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94946 + ... + 97694.

Almost surely, 2^264783680 is an apocalyptic number.

264783680 is a gapful number since it is divisible by the number (20) 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 264783680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368808000).

264783680 is an abundant number, since it is smaller than the sum of its proper divisors (472832320).

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

264783680 is a wasteful number, since it uses less digits than its factorization.

264783680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2816 (or 2806 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 44.

The square root of 264783680 is about 16272.1750236408. The cubic root of 264783680 is about 642.1410067374.

The spelling of 264783680 in words is "two hundred sixty-four million, seven hundred eighty-three thousand, six hundred eighty".