1331075840 has 72 divisors (see below), whose sum is σ = 3207305808. Its totient is φ = 529264640.

The previous prime is 1331075839. The next prime is 1331075857. The reversal of 1331075840 is 485701331.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 1331075797 and 1331075806.

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, 218435 + ... + 224445.

It is an arithmetic number, because the mean of its divisors is an integer number (44545914).

Almost surely, 2^1331075840 is an apocalyptic number.

1331075840 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 1331075840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603652904).

1331075840 is an abundant number, since it is smaller than the sum of its proper divisors (1876229968).

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

1331075840 is an equidigital number, since it uses as much as digits as its factorization.

1331075840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6205 (or 6191 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 1331075840 is about 36483.9120709389. The cubic root of 1331075840 is about 1100.0208921652.

The spelling of 1331075840 in words is "one billion, three hundred thirty-one million, seventy-five thousand, eight hundred forty".