320922000 has 400 divisors, whose sum is σ = 1329474432. Its totient is φ = 73094400.

The previous prime is 320921999. The next prime is 320922001. The reversal of 320922000 is 229023.

It is an interprime number because it is at equal distance from previous prime (320921999) and next prime (320922001).

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (320922001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1133859 + ... + 1134141.

Almost surely, 2^320922000 is an apocalyptic number.

320922000 is a gapful number since it is divisible by the number (30) 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 320922000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664737216).

320922000 is an abundant number, since it is smaller than the sum of its proper divisors (1008552432).

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

320922000 is a wasteful number, since it uses less digits than its factorization.

320922000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 320922000 is about 17914.2959671878. The cubic root of 320922000 is about 684.6466645253.

The spelling of 320922000 in words is "three hundred twenty million, nine hundred twenty-two thousand".