920855520 has 384 divisors, whose sum is σ = 3657830400. Its totient is φ = 214493184.

The previous prime is 920855491. The next prime is 920855543. The reversal of 920855520 is 25558029.

920855520 is a `hidden beast` number, since 9 + 20 + 85 + 552 + 0 = 666.

920855520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 63 ways as a sum of consecutive naturals, for example, 1066609 + ... + 1067471.

It is an arithmetic number, because the mean of its divisors is an integer number (9525600).

Almost surely, 2^920855520 is an apocalyptic number.

920855520 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 920855520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828915200).

920855520 is an abundant number, since it is smaller than the sum of its proper divisors (2736974880).

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

920855520 is a wasteful number, since it uses less digits than its factorization.

920855520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 920855520 is about 30345.6013286934. The cubic root of 920855520 is about 972.8902071639.

The spelling of 920855520 in words is "nine hundred twenty million, eight hundred fifty-five thousand, five hundred twenty".