264006740 has 24 divisors (see below), whose sum is σ = 554730120. Its totient is φ = 105542528.

The previous prime is 264006737. The next prime is 264006751. The reversal of 264006740 is 47600462.

264006740 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 11641744 + 252364996 = 3412^2 + 15886^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53414 + ... + 58146.

It is an arithmetic number, because the mean of its divisors is an integer number (23113755).

Almost surely, 2^264006740 is an apocalyptic number.

264006740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264006740 is an abundant number, since it is smaller than the sum of its proper divisors (290723380).

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

264006740 is a wasteful number, since it uses less digits than its factorization.

264006740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7531 (or 7529 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 264006740 is about 16248.2842171104. The cubic root of 264006740 is about 641.5123252409.

The spelling of 264006740 in words is "two hundred sixty-four million, six thousand, seven hundred forty".