323648640 has 384 divisors, whose sum is σ = 1336608000. Its totient is φ = 70557696.

The previous prime is 323648609. The next prime is 323648693. The reversal of 323648640 is 46846323.

It is a happy number.

323648640 is a `hidden beast` number, since 3 + 2 + 3 + 6 + 4 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 323648595 and 323648604.

It is a congruent number.

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, 927186 + ... + 927534.

It is an arithmetic number, because the mean of its divisors is an integer number (3480750).

Almost surely, 2^323648640 is an apocalyptic number.

323648640 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 323648640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668304000).

323648640 is an abundant number, since it is smaller than the sum of its proper divisors (1012959360).

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

323648640 is a wasteful number, since it uses less digits than its factorization.

323648640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 323648640 is about 17990.2373525198. The cubic root of 323648640 is about 686.5801799306.

The spelling of 323648640 in words is "three hundred twenty-three million, six hundred forty-eight thousand, six hundred forty".