890856960 has 320 divisors, whose sum is σ = 3313930752. Its totient is φ = 199950336.

The previous prime is 890856959. The next prime is 890856961. The reversal of 890856960 is 69658098.

It is an interprime number because it is at equal distance from previous prime (890856959) and next prime (890856961).

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×890856960² = 1587252246360883200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (890856961) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3924367 + ... + 3924593.

Almost surely, 2^890856960 is an apocalyptic number.

890856960 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 890856960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1656965376).

890856960 is an abundant number, since it is smaller than the sum of its proper divisors (2423073792).

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

890856960 is a wasteful number, since it uses less digits than its factorization.

890856960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 51.

The square root of 890856960 is about 29847.2270068762. The cubic root of 890856960 is about 962.2088028972.

The spelling of 890856960 in words is "eight hundred ninety million, eight hundred fifty-six thousand, nine hundred sixty".