1683633312 has 72 divisors (see below), whose sum is σ = 4942304640. Its totient is φ = 543104640.

The previous prime is 1683633283. The next prime is 1683633323. The reversal of 1683633312 is 2133363861.

1683633312 is a `hidden beast` number, since 1 + 6 + 8 + 3 + 633 + 3 + 12 = 666.

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

It is a super-2 number, since 2×1683633312² = 5669242258552178688, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

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, 85362 + ... + 103217.

It is an arithmetic number, because the mean of its divisors is an integer number (68643120).

Almost surely, 2^1683633312 is an apocalyptic number.

1683633312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1683633312 is an abundant number, since it is smaller than the sum of its proper divisors (3258671328).

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

1683633312 is a wasteful number, since it uses less digits than its factorization.

1683633312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188626 (or 188615 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 1683633312 is about 41032.1009942216. The cubic root of 1683633312 is about 1189.6407625008.

The spelling of 1683633312 in words is "one billion, six hundred eighty-three million, six hundred thirty-three thousand, three hundred twelve".