240609120 has 96 divisors (see below), whose sum is σ = 764080128. Its totient is φ = 63641088.

The previous prime is 240609077. The next prime is 240609151. The reversal of 240609120 is 21906042.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 58987 + ... + 62933.

It is an arithmetic number, because the mean of its divisors is an integer number (7959168).

Almost surely, 2^240609120 is an apocalyptic number.

240609120 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 240609120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382040064).

240609120 is an abundant number, since it is smaller than the sum of its proper divisors (523471008).

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

240609120 is a wasteful number, since it uses less digits than its factorization.

240609120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4092 (or 4084 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 240609120 is about 15511.5801902965. The cubic root of 240609120 is about 621.9718007777.

The spelling of 240609120 in words is "two hundred forty million, six hundred nine thousand, one hundred twenty".