890811264 has 256 divisors, whose sum is σ = 2837721600. Its totient is φ = 242319360.

The previous prime is 890811253. The next prime is 890811281. The reversal of 890811264 is 462118098.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6502204 + ... + 6502340.

It is an arithmetic number, because the mean of its divisors is an integer number (11084850).

Almost surely, 2^890811264 is an apocalyptic number.

890811264 is a gapful number since it is divisible by the number (84) 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 890811264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418860800).

890811264 is an abundant number, since it is smaller than the sum of its proper divisors (1946910336).

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

890811264 is a wasteful number, since it uses less digits than its factorization.

890811264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 890811264 is about 29846.4614988109. The cubic root of 890811264 is about 962.1923506319.

The spelling of 890811264 in words is "eight hundred ninety million, eight hundred eleven thousand, two hundred sixty-four".