920736320 has 112 divisors (see below), whose sum is σ = 2653223040. Its totient is φ = 297099264.

The previous prime is 920736281. The next prime is 920736329. The reversal of 920736320 is 23637029.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (920736329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25991 + ... + 50169.

Almost surely, 2^920736320 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 920736320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326611520).

920736320 is an abundant number, since it is smaller than the sum of its proper divisors (1732486720).

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

920736320 is a wasteful number, since it uses less digits than its factorization.

920736320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24220 (or 24210 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 32.

The square root of 920736320 is about 30343.6372243012. The cubic root of 920736320 is about 972.8482268118.

The spelling of 920736320 in words is "nine hundred twenty million, seven hundred thirty-six thousand, three hundred twenty".