891196416 has 264 divisors, whose sum is σ = 2873988000. Its totient is φ = 263700480.

The previous prime is 891196399. The next prime is 891196421. The reversal of 891196416 is 614691198.

It is a tau number, because it is divible by the number of its divisors (264).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5981110 + ... + 5981258.

Almost surely, 2^891196416 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 891196416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436994000).

891196416 is an abundant number, since it is smaller than the sum of its proper divisors (1982791584).

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

891196416 is a wasteful number, since it uses less digits than its factorization.

891196416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 224 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The square root of 891196416 is about 29852.9130236900. The cubic root of 891196416 is about 962.3310021160.

The spelling of 891196416 in words is "eight hundred ninety-one million, one hundred ninety-six thousand, four hundred sixteen".