1390531968 has 256 divisors, whose sum is σ = 4729536000. Its totient is φ = 393984000.

The previous prime is 1390531963. The next prime is 1390531981. The reversal of 1390531968 is 8691350931.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1390531963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5539843 + ... + 5540093.

It is an arithmetic number, because the mean of its divisors is an integer number (18474750).

Almost surely, 2^1390531968 is an apocalyptic number.

1390531968 is a gapful number since it is divisible by the number (18) 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 1390531968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2364768000).

1390531968 is an abundant number, since it is smaller than the sum of its proper divisors (3339004032).

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

1390531968 is a wasteful number, since it uses less digits than its factorization.

1390531968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 1390531968 is about 37289.8373286878. The cubic root of 1390531968 is about 1116.1613826045.

The spelling of 1390531968 in words is "one billion, three hundred ninety million, five hundred thirty-one thousand, nine hundred sixty-eight".