896276160 has 336 divisors, whose sum is σ = 3414954816. Its totient is φ = 214327296.

The previous prime is 896276119. The next prime is 896276179. The reversal of 896276160 is 61672698.

896276160 is a `hidden beast` number, since 8 + 9 + 6 + 27 + 616 + 0 = 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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1384957 + ... + 1385603.

It is an arithmetic number, because the mean of its divisors is an integer number (10163556).

Almost surely, 2^896276160 is an apocalyptic number.

896276160 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 896276160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1707477408).

896276160 is an abundant number, since it is smaller than the sum of its proper divisors (2518678656).

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

896276160 is a wasteful number, since it uses less digits than its factorization.

896276160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 896276160 is about 29937.8716678390. The cubic root of 896276160 is about 964.1559408663.

The spelling of 896276160 in words is "eight hundred ninety-six million, two hundred seventy-six thousand, one hundred sixty".