264004680 has 64 divisors (see below), whose sum is σ = 817574400. Its totient is φ = 68129280.

The previous prime is 264004667. The next prime is 264004681. The reversal of 264004680 is 86400462.

264004680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (264004681) 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, 31765 + ... + 39204.

It is an arithmetic number, because the mean of its divisors is an integer number (12774600).

Almost surely, 2^264004680 is an apocalyptic number.

264004680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264004680 is an abundant number, since it is smaller than the sum of its proper divisors (553569720).

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

264004680 is a wasteful number, since it uses less digits than its factorization.

264004680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71014 (or 71010 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 264004680 is about 16248.2208256781. The cubic root of 264004680 is about 641.5106566992.

The spelling of 264004680 in words is "two hundred sixty-four million, four thousand, six hundred eighty".