320633040 has 320 divisors, whose sum is σ = 1250919936. Its totient is φ = 66134016.

The previous prime is 320633021. The next prime is 320633051. The reversal of 320633040 is 40336023.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 320632998 and 320633016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1157382 + ... + 1157658.

Almost surely, 2^320633040 is an apocalyptic number.

320633040 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 320633040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625459968).

320633040 is an abundant number, since it is smaller than the sum of its proper divisors (930286896).

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

320633040 is a wasteful number, since it uses less digits than its factorization.

320633040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 320633040 is about 17906.2290837574. The cubic root of 320633040 is about 684.4411162329.

Adding to 320633040 its reverse (40336023), we get a palindrome (360969063).

The spelling of 320633040 in words is "three hundred twenty million, six hundred thirty-three thousand, forty".