1390896000 has 384 divisors, whose sum is σ = 5386530240. Its totient is φ = 341913600.

The previous prime is 1390895981. The next prime is 1390896019. The reversal of 1390896000 is 6980931.

It is an interprime number because it is at equal distance from previous prime (1390895981) and next prime (1390896019).

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 1871629 + ... + 1872371.

Almost surely, 2^1390896000 is an apocalyptic number.

1390896000 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 1390896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2693265120).

1390896000 is an abundant number, since it is smaller than the sum of its proper divisors (3995634240).

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

1390896000 is a wasteful number, since it uses less digits than its factorization.

1390896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 1390896000 is about 37294.7181246889. The cubic root of 1390896000 is about 1116.2587753093.

The spelling of 1390896000 in words is "one billion, three hundred ninety million, eight hundred ninety-six thousand".