915604560 has 240 divisors, whose sum is σ = 3435030144. Its totient is φ = 225317376.

The previous prime is 915604523. The next prime is 915604567. The reversal of 915604560 is 65406519.

915604560 is a `hidden beast` number, since 91 + 5 + 6 + 0 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (915604567) 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 47 ways as a sum of consecutive naturals, for example, 250909 + ... + 254531.

Almost surely, 2^915604560 is an apocalyptic number.

915604560 is a gapful number since it is divisible by the number (90) 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 915604560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717515072).

915604560 is an abundant number, since it is smaller than the sum of its proper divisors (2519425584).

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

915604560 is a wasteful number, since it uses less digits than its factorization.

915604560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3664 (or 3646 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 915604560 is about 30258.9583429437. The cubic root of 915604560 is about 971.0374559136.

The spelling of 915604560 in words is "nine hundred fifteen million, six hundred four thousand, five hundred sixty".