920331720 has 960 divisors, whose sum is σ = 4290485760. Its totient is φ = 174182400.

The previous prime is 920331719. The next prime is 920331739. The reversal of 920331720 is 27133029.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 29688105 + ... + 29688135.

It is an arithmetic number, because the mean of its divisors is an integer number (4469256).

Almost surely, 2^920331720 is an apocalyptic number.

920331720 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 920331720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2145242880).

920331720 is an abundant number, since it is smaller than the sum of its proper divisors (3370154040).

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

920331720 is a wasteful number, since it uses less digits than its factorization.

920331720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 920331720 is about 30336.9695256464. The cubic root of 920331720 is about 972.7057060729.

Adding to 920331720 its reverse (27133029), we get a palindrome (947464749).

The spelling of 920331720 in words is "nine hundred twenty million, three hundred thirty-one thousand, seven hundred twenty".