240980160 has 112 divisors (see below), whose sum is σ = 768681216. Its totient is φ = 63962112.

The previous prime is 240980137. The next prime is 240980167. The reversal of 240980160 is 61089042.

240980160 = 11² + 12² + ... + 897².

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240980167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271237 + ... + 272123.

Almost surely, 2^240980160 is an apocalyptic number.

240980160 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 240980160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384340608).

240980160 is an abundant number, since it is smaller than the sum of its proper divisors (527701056).

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

240980160 is a wasteful number, since it uses less digits than its factorization.

240980160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 240980160 is about 15523.5356797348. The cubic root of 240980160 is about 622.2913479513.

The spelling of 240980160 in words is "two hundred forty million, nine hundred eighty thousand, one hundred sixty".