323963640 has 768 divisors, whose sum is σ = 1509580800. Its totient is φ = 58060800.

The previous prime is 323963639. The next prime is 323963681. The reversal of 323963640 is 46369323.

323963640 is a `hidden beast` number, since 3 + 2 + 3 + 9 + 6 + 3 + 640 = 666.

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 = 323963595 and 323963604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10450425 + ... + 10450455.

It is an arithmetic number, because the mean of its divisors is an integer number (1965600).

Almost surely, 2^323963640 is an apocalyptic number.

323963640 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 323963640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754790400).

323963640 is an abundant number, since it is smaller than the sum of its proper divisors (1185617160).

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

323963640 is a wasteful number, since it uses less digits than its factorization.

323963640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The square root of 323963640 is about 17998.9899716623. The cubic root of 323963640 is about 686.8028520956.

The spelling of 323963640 in words is "three hundred twenty-three million, nine hundred sixty-three thousand, six hundred forty".