240302664 has 72 divisors (see below), whose sum is σ = 757087110. Its totient is φ = 68656896.

The previous prime is 240302663. The next prime is 240302677. The reversal of 240302664 is 466203042.

It can be written as a sum of positive squares in only one way, i.e., 222308100 + 17994564 = 14910^2 + 4242^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (240302663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 30529 + ... + 37584.

Almost surely, 2^240302664 is an apocalyptic number.

240302664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

240302664 is an abundant number, since it is smaller than the sum of its proper divisors (516784446).

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

240302664 is a wasteful number, since it uses less digits than its factorization.

240302664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68139 (or 68125 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 240302664 is about 15501.6987456214. The cubic root of 240302664 is about 621.7076268472.

The spelling of 240302664 in words is "two hundred forty million, three hundred two thousand, six hundred sixty-four".