264680640 has 336 divisors, whose sum is σ = 1096792320. Its totient is φ = 57231360.

The previous prime is 264680627. The next prime is 264680681. The reversal of 264680640 is 46086462.

It is a happy number.

264680640 is a `hidden beast` number, since 2 + 6 + 4 + 6 + 8 + 0 + 640 = 666.

264680640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a junction number, because it is equal to n+sod(n) for n = 264680595 and 264680604.

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, 382695 + ... + 383385.

Almost surely, 2^264680640 is an apocalyptic number.

264680640 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 264680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548396160).

264680640 is an abundant number, since it is smaller than the sum of its proper divisors (832111680).

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

264680640 is a wasteful number, since it uses less digits than its factorization.

264680640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 264680640 is about 16269.0085745875. The cubic root of 264680640 is about 642.0576999993.

The spelling of 264680640 in words is "two hundred sixty-four million, six hundred eighty thousand, six hundred forty".