1396617984 has 288 divisors, whose sum is σ = 4374487040. Its totient is φ = 438939648.

The previous prime is 1396617977. The next prime is 1396618031. The reversal of 1396617984 is 4897166931.

1396617984 is a `hidden beast` number, since 1 + 396 + 6 + 179 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1396617984.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10996929 + ... + 10997055.

Almost surely, 2^1396617984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1396617984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2187243520).

1396617984 is an abundant number, since it is smaller than the sum of its proper divisors (2977869056).

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

1396617984 is a wasteful number, since it uses less digits than its factorization.

1396617984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 212 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 1396617984 is about 37371.3524507744. The cubic root of 1396617984 is about 1117.7874005176.

The spelling of 1396617984 in words is "one billion, three hundred ninety-six million, six hundred seventeen thousand, nine hundred eighty-four".