1393986672 has 400 divisors, whose sum is σ = 4779194112. Its totient is φ = 388177920.

The previous prime is 1393986637. The next prime is 1393986673. The reversal of 1393986672 is 2766893931.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1393986673) 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 79 ways as a sum of consecutive naturals, for example, 8878818 + ... + 8878974.

Almost surely, 2^1393986672 is an apocalyptic number.

1393986672 is a gapful number since it is divisible by the number (12) 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 1393986672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2389597056).

1393986672 is an abundant number, since it is smaller than the sum of its proper divisors (3385207440).

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

1393986672 is a wasteful number, since it uses less digits than its factorization.

1393986672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 223 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The square root of 1393986672 is about 37336.1309189905. The cubic root of 1393986672 is about 1117.0849663678.

It can be divided in two parts, 139398 and 6672, that added together give a triangular number (146070 = T₅₄₀).

The spelling of 1393986672 in words is "one billion, three hundred ninety-three million, nine hundred eighty-six thousand, six hundred seventy-two".