23035680 has 144 divisors (see below), whose sum is σ = 83321784. Its totient is φ = 5775360.

The previous prime is 23035679. The next prime is 23035693. The reversal of 23035680 is 8653032.

23035680 is a `hidden beast` number, since 230 + 356 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21566736 + 1468944 = 4644^2 + 1212^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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, 24010 + ... + 24950.

Almost surely, 2^23035680 is an apocalyptic number.

23035680 is a gapful number since it is divisible by the number (20) 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 23035680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41660892).

23035680 is an abundant number, since it is smaller than the sum of its proper divisors (60286104).

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

23035680 is a wasteful number, since it uses less digits than its factorization.

23035680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 23035680 is about 4799.5499789043. The cubic root of 23035680 is about 284.5336787810.

Adding to 23035680 its product of nonzero digits (4320), we get a square (23040000 = 4800²).

The spelling of 23035680 in words is "twenty-three million, thirty-five thousand, six hundred eighty".