900914560 has 256 divisors, whose sum is σ = 2741760000. Its totient is φ = 275374080.

The previous prime is 900914557. The next prime is 900914579. The reversal of 900914560 is 65419009.

900914560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1805191 + ... + 1805689.

It is an arithmetic number, because the mean of its divisors is an integer number (10710000).

Almost surely, 2^900914560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 900914560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370880000).

900914560 is an abundant number, since it is smaller than the sum of its proper divisors (1840845440).

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

900914560 is a wasteful number, since it uses less digits than its factorization.

900914560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 34.

The square root of 900914560 is about 30015.2387963181. The cubic root of 900914560 is about 965.8163101782.

The spelling of 900914560 in words is "nine hundred million, nine hundred fourteen thousand, five hundred sixty".