242520960 has 128 divisors (see below), whose sum is σ = 843384960. Its totient is φ = 58787840.

The previous prime is 242520931. The next prime is 242520973. The reversal of 242520960 is 69025242.

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 (30).

It is a congruent number.

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, 15379 + ... + 26861.

It is an arithmetic number, because the mean of its divisors is an integer number (6588945).

Almost surely, 2^242520960 is an apocalyptic number.

242520960 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 242520960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421692480).

242520960 is an abundant number, since it is smaller than the sum of its proper divisors (600864000).

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

242520960 is a wasteful number, since it uses less digits than its factorization.

242520960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11516 (or 11504 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 242520960 is about 15573.0844728975. The cubic root of 242520960 is about 623.6148181687.

The spelling of 242520960 in words is "two hundred forty-two million, five hundred twenty thousand, nine hundred sixty".