920563680 has 192 divisors, whose sum is σ = 3074077440. Its totient is φ = 230916096.

The previous prime is 920563669. The next prime is 920563697. The reversal of 920563680 is 86365029.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1759899 + ... + 1760421.

It is an arithmetic number, because the mean of its divisors is an integer number (16010820).

Almost surely, 2^920563680 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 920563680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537038720).

920563680 is an abundant number, since it is smaller than the sum of its proper divisors (2153513760).

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

920563680 is a wasteful number, since it uses less digits than its factorization.

920563680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 920563680 is about 30340.7923429827. The cubic root of 920563680 is about 972.7874193137.

The spelling of 920563680 in words is "nine hundred twenty million, five hundred sixty-three thousand, six hundred eighty".