240193680 has 120 divisors (see below), whose sum is σ = 791205312. Its totient is φ = 60266496.

The previous prime is 240193627. The next prime is 240193691. The reversal of 240193680 is 86391042.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67629 + ... + 71091.

Almost surely, 2^240193680 is an apocalyptic number.

240193680 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 240193680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395602656).

240193680 is an abundant number, since it is smaller than the sum of its proper divisors (551011632).

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

240193680 is a wasteful number, since it uses less digits than its factorization.

240193680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3513 (or 3490 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 240193680 is about 15498.1831193208. The cubic root of 240193680 is about 621.6136253513.

The spelling of 240193680 in words is "two hundred forty million, one hundred ninety-three thousand, six hundred eighty".