1331868640 has 48 divisors (see below), whose sum is σ = 3148891200. Its totient is φ = 532349440.

The previous prime is 1331868619. The next prime is 1331868661. The reversal of 1331868640 is 468681331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1331868619) and next prime (1331868661).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1331868593 and 1331868602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 309705 + ... + 313975.

It is an arithmetic number, because the mean of its divisors is an integer number (65601900).

Almost surely, 2^1331868640 is an apocalyptic number.

1331868640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1331868640 is an abundant number, since it is smaller than the sum of its proper divisors (1817022560).

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

1331868640 is a wasteful number, since it uses less digits than its factorization.

1331868640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6235 (or 6227 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 1331868640 is about 36494.7755165037. The cubic root of 1331868640 is about 1100.2392427284.

The spelling of 1331868640 in words is "one billion, three hundred thirty-one million, eight hundred sixty-eight thousand, six hundred forty".