240361264 has 60 divisors (see below), whose sum is σ = 550190232. Its totient is φ = 100838400.

The previous prime is 240361237. The next prime is 240361273. The reversal of 240361264 is 462163042.

240361264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25704 + ... + 33784.

Almost surely, 2^240361264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240361264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275095116).

240361264 is an abundant number, since it is smaller than the sum of its proper divisors (309828968).

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

240361264 is a wasteful number, since it uses less digits than its factorization.

240361264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8126 (or 8107 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 240361264 is about 15503.5887458356. The cubic root of 240361264 is about 621.7581591014.

The spelling of 240361264 in words is "two hundred forty million, three hundred sixty-one thousand, two hundred sixty-four".