891334080 has 672 divisors, whose sum is σ = 3994099200. Its totient is φ = 177168384.

The previous prime is 891334051. The next prime is 891334097. The reversal of 891334080 is 80433198.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4979431 + ... + 4979609.

It is an arithmetic number, because the mean of its divisors is an integer number (5943600).

Almost surely, 2^891334080 is an apocalyptic number.

891334080 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 891334080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1997049600).

891334080 is an abundant number, since it is smaller than the sum of its proper divisors (3102765120).

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

891334080 is a wasteful number, since it uses less digits than its factorization.

891334080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 891334080 is about 29855.2186392932. The cubic root of 891334080 is about 962.3805503083.

It can be divided in two parts, 891 and 334080, that added together give a triangular number (334971 = T₈₁₈).

The spelling of 891334080 in words is "eight hundred ninety-one million, three hundred thirty-four thousand, eighty".