891496320 has 512 divisors, whose sum is σ = 3553320960. Its totient is φ = 186777600.

The previous prime is 891496297. The next prime is 891496343. The reversal of 891496320 is 23694198.

It is an interprime number because it is at equal distance from previous prime (891496297) and next prime (891496343).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4667425 + ... + 4667615.

It is an arithmetic number, because the mean of its divisors is an integer number (6940080).

Almost surely, 2^891496320 is an apocalyptic number.

891496320 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 891496320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1776660480).

891496320 is an abundant number, since it is smaller than the sum of its proper divisors (2661824640).

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

891496320 is a wasteful number, since it uses less digits than its factorization.

891496320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 891496320 is about 29857.9356285729. The cubic root of 891496320 is about 962.4389373754.

The spelling of 891496320 in words is "eight hundred ninety-one million, four hundred ninety-six thousand, three hundred twenty".