240202368 has 128 divisors (see below), whose sum is σ = 810288000. Its totient is φ = 68622336.

The previous prime is 240202357. The next prime is 240202381. The reversal of 240202368 is 863202042.

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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19228 + ... + 29156.

It is an arithmetic number, because the mean of its divisors is an integer number (6330375).

Almost surely, 2^240202368 is an apocalyptic number.

240202368 is a gapful number since it is divisible by the number (28) 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 240202368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405144000).

240202368 is an abundant number, since it is smaller than the sum of its proper divisors (570085632).

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

240202368 is an equidigital number, since it uses as much as digits as its factorization.

240202368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9959 (or 9941 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 240202368 is about 15498.4634077059. The cubic root of 240202368 is about 621.6211200170.

The spelling of 240202368 in words is "two hundred forty million, two hundred two thousand, three hundred sixty-eight".