615958560 has 192 divisors, whose sum is σ = 2463955200. Its totient is φ = 140783616.

The previous prime is 615958507. The next prime is 615958627. The reversal of 615958560 is 65859516.

It is a happy number.

615958560 is a `hidden beast` number, since 6 + 1 + 5 + 9 + 585 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 20056 + ... + 40424.

It is an arithmetic number, because the mean of its divisors is an integer number (12833100).

Almost surely, 2^615958560 is an apocalyptic number.

615958560 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 615958560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231977600).

615958560 is an abundant number, since it is smaller than the sum of its proper divisors (1847996640).

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

615958560 is a wasteful number, since it uses less digits than its factorization.

615958560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20400 (or 20386 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The square root of 615958560 is about 24818.5124453501. The cubic root of 615958560 is about 850.8450926106.

The spelling of 615958560 in words is "six hundred fifteen million, nine hundred fifty-eight thousand, five hundred sixty".