890051680 has 144 divisors (see below), whose sum is σ = 2471240016. Its totient is φ = 302023680.

The previous prime is 890051653. The next prime is 890051689. The reversal of 890051680 is 86150098.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (890051689) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 838350 + ... + 839410.

It is an arithmetic number, because the mean of its divisors is an integer number (17161389).

Almost surely, 2^890051680 is an apocalyptic number.

890051680 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 890051680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1235620008).

890051680 is an abundant number, since it is smaller than the sum of its proper divisors (1581188336).

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

890051680 is a wasteful number, since it uses less digits than its factorization.

890051680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 37.

The square root of 890051680 is about 29833.7339265470. The cubic root of 890051680 is about 961.9187895997.

The spelling of 890051680 in words is "eight hundred ninety million, fifty-one thousand, six hundred eighty".