240096000 has 288 divisors, whose sum is σ = 830321856. Its totient is φ = 61440000.

The previous prime is 240095993. The next prime is 240096007. The reversal of 240096000 is 690042.

It is an interprime number because it is at equal distance from previous prime (240095993) and next prime (240096007).

It is not an unprimeable number, because it can be changed into a prime (240096007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3935970 + ... + 3936030.

It is an arithmetic number, because the mean of its divisors is an integer number (2883062).

Almost surely, 2^240096000 is an apocalyptic number.

240096000 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 240096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415160928).

240096000 is an abundant number, since it is smaller than the sum of its proper divisors (590225856).

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

240096000 is an equidigital number, since it uses as much as digits as its factorization.

240096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 240096000 is about 15495.0314617299. The cubic root of 240096000 is about 621.5293496788.

The spelling of 240096000 in words is "two hundred forty million, ninety-six thousand".