1390813680 has 320 divisors, whose sum is σ = 4821120000. Its totient is φ = 330080256.

The previous prime is 1390813663. The next prime is 1390813691. The reversal of 1390813680 is 863180931.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9334246 + ... + 9334394.

It is an arithmetic number, because the mean of its divisors is an integer number (15066000).

Almost surely, 2^1390813680 is an apocalyptic number.

1390813680 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 1390813680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2410560000).

1390813680 is an abundant number, since it is smaller than the sum of its proper divisors (3430306320).

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

1390813680 is a wasteful number, since it uses less digits than its factorization.

1390813680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 1390813680 is about 37293.6144668226. The cubic root of 1390813680 is about 1116.2367529977.

The spelling of 1390813680 in words is "one billion, three hundred ninety million, eight hundred thirteen thousand, six hundred eighty".