920344320 has 432 divisors, whose sum is σ = 3707750592. Its totient is φ = 206438400.

The previous prime is 920344297. The next prime is 920344339. The reversal of 920344320 is 23443029.

It is a happy number.

920344320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8144584 + ... + 8144696.

It is an arithmetic number, because the mean of its divisors is an integer number (8582756).

Almost surely, 2^920344320 is an apocalyptic number.

920344320 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 920344320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1853875296).

920344320 is an abundant number, since it is smaller than the sum of its proper divisors (2787406272).

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

920344320 is a wasteful number, since it uses less digits than its factorization.

920344320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 920344320 is about 30337.1771923493. The cubic root of 920344320 is about 972.7101450651.

Adding to 920344320 its reverse (23443029), we get a palindrome (943787349).

The spelling of 920344320 in words is "nine hundred twenty million, three hundred forty-four thousand, three hundred twenty".