891876264 has 64 divisors (see below), whose sum is σ = 2364096000. Its totient is φ = 279599040.

The previous prime is 891876263. The next prime is 891876269. The reversal of 891876264 is 462678198.

891876264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (891876263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56349 + ... + 70419.

It is an arithmetic number, because the mean of its divisors is an integer number (36939000).

Almost surely, 2^891876264 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 891876264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182048000).

891876264 is an abundant number, since it is smaller than the sum of its proper divisors (1472219736).

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

891876264 is a wasteful number, since it uses less digits than its factorization.

891876264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14238 (or 14234 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 51.

The square root of 891876264 is about 29864.2974804364. The cubic root of 891876264 is about 962.5756442263.

The spelling of 891876264 in words is "eight hundred ninety-one million, eight hundred seventy-six thousand, two hundred sixty-four".