240084864 has 128 divisors (see below), whose sum is σ = 715468800. Its totient is φ = 79252992.

The previous prime is 240084857. The next prime is 240084869. The reversal of 240084864 is 468480042.

240084864 is digitally balanced in base 2 and base 3, because in such bases 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 (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240084869) 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, 438639 + ... + 439185.

It is an arithmetic number, because the mean of its divisors is an integer number (5589600).

Almost surely, 2^240084864 is an apocalyptic number.

240084864 is a gapful number since it is divisible by the number (24) 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 240084864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357734400).

240084864 is an abundant number, since it is smaller than the sum of its proper divisors (475383936).

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

240084864 is a wasteful number, since it uses less digits than its factorization.

240084864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 240084864 is about 15494.6721165696. The cubic root of 240084864 is about 621.5197403866.

The spelling of 240084864 in words is "two hundred forty million, eighty-four thousand, eight hundred sixty-four".