615258240 has 128 divisors (see below), whose sum is σ = 2024593920. Its totient is φ = 158760960.

The previous prime is 615258197. The next prime is 615258269. The reversal of 615258240 is 42852516.

It is a tau number, because it is divible by the number of its divisors (128).

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, 54352 + ... + 64688.

It is an arithmetic number, because the mean of its divisors is an integer number (15817140).

Almost surely, 2^615258240 is an apocalyptic number.

615258240 is a gapful number since it is divisible by the number (60) 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 615258240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012296960).

615258240 is an abundant number, since it is smaller than the sum of its proper divisors (1409335680).

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

615258240 is a wasteful number, since it uses less digits than its factorization.

615258240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10390 (or 10378 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 615258240 is about 24804.3996097467. The cubic root of 615258240 is about 850.5225114929.

The spelling of 615258240 in words is "six hundred fifteen million, two hundred fifty-eight thousand, two hundred forty".