891311616 has 120 divisors (see below), whose sum is σ = 2770447680. Its totient is φ = 274231296.

The previous prime is 891311609. The next prime is 891311627. The reversal of 891311616 is 616113198.

It is a happy number.

891311616 is a `hidden beast` number, since 8 + 9 + 1 + 31 + 1 + 616 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52465 + ... + 67343.

It is an arithmetic number, because the mean of its divisors is an integer number (23087064).

Almost surely, 2^891311616 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 891311616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385223840).

891311616 is an abundant number, since it is smaller than the sum of its proper divisors (1879136064).

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

891311616 is a wasteful number, since it uses less digits than its factorization.

891311616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14916 (or 14897 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The square root of 891311616 is about 29854.8424212890. The cubic root of 891311616 is about 962.3724653868.

The spelling of 891311616 in words is "eight hundred ninety-one million, three hundred eleven thousand, six hundred sixteen".