890569680 has 480 divisors, whose sum is σ = 3745926912. Its totient is φ = 170311680.

The previous prime is 890569649. The next prime is 890569703. The reversal of 890569680 is 86965098.

It is a super-2 number, since 2×890569680² = 1586228709870604800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2642472 + ... + 2642808.

Almost surely, 2^890569680 is an apocalyptic number.

890569680 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 890569680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1872963456).

890569680 is an abundant number, since it is smaller than the sum of its proper divisors (2855357232).

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

890569680 is a wasteful number, since it uses less digits than its factorization.

890569680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 378 counting only the distinct ones).

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

The square root of 890569680 is about 29842.4141114622. The cubic root of 890569680 is about 962.1053620247.

The spelling of 890569680 in words is "eight hundred ninety million, five hundred sixty-nine thousand, six hundred eighty".