920872680 has 256 divisors, whose sum is σ = 3471552000. Its totient is φ = 194181120.

The previous prime is 920872679. The next prime is 920872691. The reversal of 920872680 is 86278029.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 534220 + ... + 535940.

It is an arithmetic number, because the mean of its divisors is an integer number (13560750).

Almost surely, 2^920872680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 920872680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1735776000).

920872680 is an abundant number, since it is smaller than the sum of its proper divisors (2550679320).

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

920872680 is a wasteful number, since it uses less digits than its factorization.

920872680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1769 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 920872680 is about 30345.8840701667. The cubic root of 920872680 is about 972.8962503458.

The spelling of 920872680 in words is "nine hundred twenty million, eight hundred seventy-two thousand, six hundred eighty".