240907680 has 288 divisors, whose sum is σ = 938652624. Its totient is φ = 55738368.

The previous prime is 240907657. The next prime is 240907691. The reversal of 240907680 is 86709042.

240907680 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 8 ways, for example, as 106254864 + 134652816 = 10308^2 + 11604^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 317862 + ... + 318618.

Almost surely, 2^240907680 is an apocalyptic number.

240907680 is a gapful number since it is divisible by the number (20) 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 240907680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469326312).

240907680 is an abundant number, since it is smaller than the sum of its proper divisors (697744944).

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

240907680 is a wasteful number, since it uses less digits than its factorization.

240907680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 240907680 is about 15521.2009844599. The cubic root of 240907680 is about 622.2289524971.

The spelling of 240907680 in words is "two hundred forty million, nine hundred seven thousand, six hundred eighty".