23006880 has 144 divisors (see below), whose sum is σ = 84619080. Its totient is φ = 5658624.

The previous prime is 23006869. The next prime is 23006903. The reversal of 23006880 is 8860032.

It can be written as a sum of positive squares in 4 ways, for example, as 20684304 + 2322576 = 4548^2 + 1524^2 .

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, 18106 + ... + 19334.

Almost surely, 2^23006880 is an apocalyptic number.

23006880 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 23006880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42309540).

23006880 is an abundant number, since it is smaller than the sum of its proper divisors (61612200).

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

23006880 is a wasteful number, since it uses less digits than its factorization.

23006880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 23006880 is about 4796.5487592643. The cubic root of 23006880 is about 284.4150513971.

It can be divided in two parts, 2300 and 6880, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 23006880 in words is "twenty-three million, six thousand, eight hundred eighty".