1331000640 has 224 divisors, whose sum is σ = 4736348160. Its totient is φ = 351848448.

The previous prime is 1331000633. The next prime is 1331000641. The reversal of 1331000640 is 460001331.

1331000640 is a `hidden beast` number, since 13 + 3 + 10 + 0 + 0 + 640 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331000641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1096674 + ... + 1097886.

Almost surely, 2^1331000640 is an apocalyptic number.

1331000640 is a gapful number since it is divisible by the number (10) 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 1331000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2368174080).

1331000640 is an abundant number, since it is smaller than the sum of its proper divisors (3405347520).

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

1331000640 is a wasteful number, since it uses less digits than its factorization.

1331000640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1331000640 is about 36482.8814651475. The cubic root of 1331000640 is about 1100.0001763085. Note that the first 3 decimals are identical.

Adding to 1331000640 its reverse (460001331), we get a palindrome (1791001971).

The spelling of 1331000640 in words is "one billion, three hundred thirty-one million, six hundred forty", and thus it is an aban number.