23284080 has 120 divisors (see below), whose sum is σ = 79445808. Its totient is φ = 6110208.

The previous prime is 23284057. The next prime is 23284087. The reversal of 23284080 is 8048232.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23284087) 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 23 ways as a sum of consecutive naturals, for example, 52339 + ... + 52781.

Almost surely, 2^23284080 is an apocalyptic number.

23284080 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 23284080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39722904).

23284080 is an abundant number, since it is smaller than the sum of its proper divisors (56161728).

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

23284080 is a wasteful number, since it uses less digits than its factorization.

23284080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 23284080 is about 4825.3580178055. The cubic root of 23284080 is about 285.5527591755.

The spelling of 23284080 in words is "twenty-three million, two hundred eighty-four thousand, eighty".