240906960 has 400 divisors, whose sum is σ = 985222656. Its totient is φ = 53415936.

The previous prime is 240906959. The next prime is 240906979. The reversal of 240906960 is 69609042.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2131864 + ... + 2131976.

Almost surely, 2^240906960 is an apocalyptic number.

240906960 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 240906960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492611328).

240906960 is an abundant number, since it is smaller than the sum of its proper divisors (744315696).

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

240906960 is a wasteful number, since it uses less digits than its factorization.

240906960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 240906960 is about 15521.1777903611. The cubic root of 240906960 is about 622.2283326120.

The spelling of 240906960 in words is "two hundred forty million, nine hundred six thousand, nine hundred sixty".