920848320 has 168 divisors, whose sum is σ = 3619890144. Its totient is φ = 210475008.

The previous prime is 920848303. The next prime is 920848337. The reversal of 920848320 is 23848029.

It is an interprime number because it is at equal distance from previous prime (920848303) and next prime (920848337).

It is a tau number, because it is divible by the number of its divisors (168).

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 23 ways as a sum of consecutive naturals, for example, 2679 + ... + 42998.

Almost surely, 2^920848320 is an apocalyptic number.

920848320 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 920848320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1809945072).

920848320 is an abundant number, since it is smaller than the sum of its proper divisors (2699041824).

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

920848320 is a wasteful number, since it uses less digits than its factorization.

920848320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45707 (or 45694 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 920848320 is about 30345.4826951228. The cubic root of 920848320 is about 972.8876715408.

The spelling of 920848320 in words is "nine hundred twenty million, eight hundred forty-eight thousand, three hundred twenty".