920327996160 has 288 divisors, whose sum is σ = 3268273095360. Its totient is φ = 245241446400.

The previous prime is 920327996143. The next prime is 920327996171. The reversal of 920327996160 is 61699723029.

920327996160 is a `hidden beast` number, since 9 + 203 + 279 + 9 + 6 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 920327996097 and 920327996106.

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 31 ways as a sum of consecutive naturals, for example, 51174370 + ... + 51192350.

It is an arithmetic number, because the mean of its divisors is an integer number (11348170470).

Almost surely, 2^920327996160 is an apocalyptic number.

920327996160 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 920327996160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634136547680).

920327996160 is an abundant number, since it is smaller than the sum of its proper divisors (2347945099200).

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

920327996160 is a wasteful number, since it uses less digits than its factorization.

920327996160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19492 (or 19472 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 920327996160 in words is "nine hundred twenty billion, three hundred twenty-seven million, nine hundred ninety-six thousand, one hundred sixty".