890686560 has 192 divisors, whose sum is σ = 2980454400. Its totient is φ = 222953472.

The previous prime is 890686549. The next prime is 890686603. The reversal of 890686560 is 65686098.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1157856 + ... + 1158624.

It is an arithmetic number, because the mean of its divisors is an integer number (15523200).

Almost surely, 2^890686560 is an apocalyptic number.

890686560 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 890686560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490227200).

890686560 is an abundant number, since it is smaller than the sum of its proper divisors (2089767840).

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

890686560 is a wasteful number, since it uses less digits than its factorization.

890686560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The square root of 890686560 is about 29844.3723338254. The cubic root of 890686560 is about 962.1474496750.

The spelling of 890686560 in words is "eight hundred ninety million, six hundred eighty-six thousand, five hundred sixty".