321215040 has 84 divisors (see below), whose sum is σ = 1104855804. Its totient is φ = 85656576.

The previous prime is 321215023. The next prime is 321215053. The reversal of 321215040 is 40512123.

It can be written as a sum of positive squares in 2 ways, for example, as 47775744 + 273439296 = 6912^2 + 16536^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52887 + ... + 58646.

Almost surely, 2^321215040 is an apocalyptic number.

321215040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

321215040 is an abundant number, since it is smaller than the sum of its proper divisors (783640764).

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

321215040 is a wasteful number, since it uses less digits than its factorization.

321215040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111556 (or 111543 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 321215040 is about 17922.4730436399. The cubic root of 321215040 is about 684.8549891063.

Adding to 321215040 its reverse (40512123), we get a palindrome (361727163).

The spelling of 321215040 in words is "three hundred twenty-one million, two hundred fifteen thousand, forty".