1162633680 has 120 divisors (see below), whose sum is σ = 4204892328. Its totient is φ = 286184448.

The previous prime is 1162633673. The next prime is 1162633753. The reversal of 1162633680 is 863362611.

1162633680 is a `hidden beast` number, since 1 + 16 + 2 + 633 + 6 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2005056 + 1160628624 = 1416^2 + 34068^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 23 ways as a sum of consecutive naturals, for example, 52747 + ... + 71466.

Almost surely, 2^1162633680 is an apocalyptic number.

1162633680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1162633680 is an abundant number, since it is smaller than the sum of its proper divisors (3042258648).

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

1162633680 is a wasteful number, since it uses less digits than its factorization.

1162633680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124245 (or 124236 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1162633680 is about 34097.4145647438. The cubic root of 1162633680 is about 1051.5121613459.

The spelling of 1162633680 in words is "one billion, one hundred sixty-two million, six hundred thirty-three thousand, six hundred eighty".