920890080 has 192 divisors, whose sum is σ = 3516307200. Its totient is φ = 223234560.

The previous prime is 920890073. The next prime is 920890121. The reversal of 920890080 is 80098029.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 37831 + ... + 57209.

It is an arithmetic number, because the mean of its divisors is an integer number (18314100).

Almost surely, 2^920890080 is an apocalyptic number.

920890080 is a gapful number since it is divisible by the number (90) 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 920890080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1758153600).

920890080 is an abundant number, since it is smaller than the sum of its proper divisors (2595417120).

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

920890080 is a wasteful number, since it uses less digits than its factorization.

920890080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19414 (or 19400 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 920890080 is about 30346.1707633764. The cubic root of 920890080 is about 972.9023779711.

The spelling of 920890080 in words is "nine hundred twenty million, eight hundred ninety thousand, eighty".