1383680160 has 72 divisors (see below), whose sum is σ = 4721813460. Its totient is φ = 368980992.

The previous prime is 1383680131. The next prime is 1383680171. The reversal of 1383680160 is 610863831.

1383680160 is a `hidden beast` number, since 138 + 368 + 0 + 160 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1277919504 + 105760656 = 35748^2 + 10284^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

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, 479005 + ... + 481884.

Almost surely, 2^1383680160 is an apocalyptic number.

1383680160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1383680160 is an abundant number, since it is smaller than the sum of its proper divisors (3338133300).

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

1383680160 is a wasteful number, since it uses less digits than its factorization.

1383680160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960910 (or 960899 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1383680160 is about 37197.8515508625. The cubic root of 1383680160 is about 1114.3250783502.

The spelling of 1383680160 in words is "one billion, three hundred eighty-three million, six hundred eighty thousand, one hundred sixty".