320146992 has 200 divisors, whose sum is σ = 1071105552. Its totient is φ = 91238400.

The previous prime is 320146961. The next prime is 320146993. The reversal of 320146992 is 299641023.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (320146993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 241692 + ... + 243012.

Almost surely, 2^320146992 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 320146992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535552776).

320146992 is an abundant number, since it is smaller than the sum of its proper divisors (750958560).

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

320146992 is a wasteful number, since it uses less digits than its factorization.

320146992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 320146992 is about 17892.6518995927. The cubic root of 320146992 is about 684.0950929656.

Subtracting from 320146992 its product of nonzero digits (23328), we obtain a square (320123664 = 17892²).

The spelling of 320146992 in words is "three hundred twenty million, one hundred forty-six thousand, nine hundred ninety-two".