321180540 has 48 divisors (see below), whose sum is σ = 900604320. Its totient is φ = 85524480.

The previous prime is 321180467. The next prime is 321180547. The reversal of 321180540 is 45081123.

It is a self number, because there is not a number n which added to its sum of digits gives 321180540.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321180547) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42660 + ... + 49620.

It is an arithmetic number, because the mean of its divisors is an integer number (18762590).

Almost surely, 2^321180540 is an apocalyptic number.

321180540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

321180540 is an abundant number, since it is smaller than the sum of its proper divisors (579423780).

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

321180540 is a wasteful number, since it uses less digits than its factorization.

321180540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7742 (or 7740 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 321180540 is about 17921.5105390143. The cubic root of 321180540 is about 684.8304693504.

It can be divided in two parts, 3211805 and 40, that added together give a triangular number (3211845 = T₂₅₃₄).

The spelling of 321180540 in words is "three hundred twenty-one million, one hundred eighty thousand, five hundred forty".