1390648320 has 264 divisors, whose sum is σ = 4881947616. Its totient is φ = 365985792.

The previous prime is 1390648309. The next prime is 1390648393. The reversal of 1390648320 is 238460931.

1390648320 is a `hidden beast` number, since 1 + 3 + 9 + 0 + 648 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4746094 + ... + 4746386.

Almost surely, 2^1390648320 is an apocalyptic number.

1390648320 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 1390648320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2440973808).

1390648320 is an abundant number, since it is smaller than the sum of its proper divisors (3491299296).

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

1390648320 is a wasteful number, since it uses less digits than its factorization.

1390648320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1390648320 is about 37291.3973994003. The cubic root of 1390648320 is about 1116.1925131335.

It can be divided in two parts, 13906 and 48320, that added together give a palindrome (62226).

The spelling of 1390648320 in words is "one billion, three hundred ninety million, six hundred forty-eight thousand, three hundred twenty".