1633120680 has 96 divisors (see below), whose sum is σ = 5170932000. Its totient is φ = 412566912.

The previous prime is 1633120679. The next prime is 1633120711. The reversal of 1633120680 is 860213361.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 24471 + ... + 62169.

It is an arithmetic number, because the mean of its divisors is an integer number (53863875).

Almost surely, 2^1633120680 is an apocalyptic number.

1633120680 is a gapful number since it is divisible by the number (10) 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 1633120680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2585466000).

1633120680 is an abundant number, since it is smaller than the sum of its proper divisors (3537811320).

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

1633120680 is a wasteful number, since it uses less digits than its factorization.

1633120680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37751 (or 37728 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 1633120680 is about 40411.8878549369. The cubic root of 1633120680 is about 1177.6224943675.

The spelling of 1633120680 in words is "one billion, six hundred thirty-three million, one hundred twenty thousand, six hundred eighty".