921352320 has 320 divisors, whose sum is σ = 3761841600. Its totient is φ = 210511872.

The previous prime is 921352307. The next prime is 921352363. The reversal of 921352320 is 23253129.

It is a tau number, because it is divible by the number of its divisors (320).

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 39 ways as a sum of consecutive naturals, for example, 361611 + ... + 364149.

It is an arithmetic number, because the mean of its divisors is an integer number (11755755).

Almost surely, 2^921352320 is an apocalyptic number.

921352320 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 921352320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880920800).

921352320 is an abundant number, since it is smaller than the sum of its proper divisors (2840489280).

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

921352320 is a wasteful number, since it uses less digits than its factorization.

921352320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2577 (or 2556 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 921352320 is about 30353.7859253175. The cubic root of 921352320 is about 973.0651332523.

The spelling of 921352320 in words is "nine hundred twenty-one million, three hundred fifty-two thousand, three hundred twenty".