321263640 has 96 divisors (see below), whose sum is σ = 1058896800. Its totient is φ = 84456960.

The previous prime is 321263639. The next prime is 321263681. The reversal of 321263640 is 46362123.

321263640 is a `hidden beast` number, since 3 + 2 + 12 + 6 + 3 + 640 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19276 + ... + 31844.

It is an arithmetic number, because the mean of its divisors is an integer number (11030175).

Almost surely, 2^321263640 is an apocalyptic number.

321263640 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 321263640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529448400).

321263640 is an abundant number, since it is smaller than the sum of its proper divisors (737633160).

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

321263640 is a wasteful number, since it uses less digits than its factorization.

321263640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12657 (or 12650 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 321263640 is about 17923.8288320325. The cubic root of 321263640 is about 684.8895270013.

The spelling of 321263640 in words is "three hundred twenty-one million, two hundred sixty-three thousand, six hundred forty".