23180080 has 160 divisors (see below), whose sum is σ = 69424128. Its totient is φ = 6988800.

The previous prime is 23180063. The next prime is 23180081. The reversal of 23180080 is 8008132.

It is a super-2 number, since 2×23180080² = 1074632217612800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (23180081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 326445 + ... + 326515.

Almost surely, 2^23180080 is an apocalyptic number.

23180080 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 23180080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34712064).

23180080 is an abundant number, since it is smaller than the sum of its proper divisors (46244048).

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

23180080 is a wasteful number, since it uses less digits than its factorization.

23180080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 23180080 is about 4814.5695550070. The cubic root of 23180080 is about 285.1269773779.

The spelling of 23180080 in words is "twenty-three million, one hundred eighty thousand, eighty".