320894640 has 240 divisors, whose sum is σ = 1214493696. Its totient is φ = 75225600.

The previous prime is 320894593. The next prime is 320894711. The reversal of 320894640 is 46498023.

It is a happy number.

320894640 is a `hidden beast` number, since 3 + 2 + 0 + 8 + 9 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 320894595 and 320894604.

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, 244867 + ... + 246173.

Almost surely, 2^320894640 is an apocalyptic number.

320894640 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 320894640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607246848).

320894640 is an abundant number, since it is smaller than the sum of its proper divisors (893599056).

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

320894640 is a wasteful number, since it uses less digits than its factorization.

320894640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368 (or 1359 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 320894640 is about 17913.5323149847. The cubic root of 320894640 is about 684.6272076011.

The spelling of 320894640 in words is "three hundred twenty million, eight hundred ninety-four thousand, six hundred forty".