1382564736 has 96 divisors (see below), whose sum is σ = 4546854000. Its totient is φ = 395016192.

The previous prime is 1382564717. The next prime is 1382564747. The reversal of 1382564736 is 6374652831.

1382564736 is a `hidden beast` number, since 1 + 3 + 82 + 564 + 7 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1382564736² = 3822970498461499392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1382564691 and 1382564700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77661 + ... + 93788.

Almost surely, 2^1382564736 is an apocalyptic number.

1382564736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1382564736 is an abundant number, since it is smaller than the sum of its proper divisors (3164289264).

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

1382564736 is a wasteful number, since it uses less digits than its factorization.

1382564736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171476 (or 171461 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 1382564736 is about 37182.8554040703. The cubic root of 1382564736 is about 1114.0255681230.

The spelling of 1382564736 in words is "one billion, three hundred eighty-two million, five hundred sixty-four thousand, seven hundred thirty-six".