896312560 has 160 divisors (see below), whose sum is σ = 2501839872. Its totient is φ = 294282240.

The previous prime is 896312519. The next prime is 896312561. The reversal of 896312560 is 65213698.

896312560 is digitally balanced in base 2 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (896312561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 536847 + ... + 538513.

Almost surely, 2^896312560 is an apocalyptic number.

896312560 is a gapful number since it is divisible by the number (80) 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 896312560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250919936).

896312560 is an abundant number, since it is smaller than the sum of its proper divisors (1605527312).

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

896312560 is a wasteful number, since it uses less digits than its factorization.

896312560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1751 (or 1745 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 896312560 is about 29938.4795873137. The cubic root of 896312560 is about 964.1689929451.

The spelling of 896312560 in words is "eight hundred ninety-six million, three hundred twelve thousand, five hundred sixty".