23585280 has 160 divisors (see below), whose sum is σ = 78369984. Its totient is φ = 6045696.

The previous prime is 23585269. The next prime is 23585293. The reversal of 23585280 is 8258532.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 284119 + ... + 284201.

Almost surely, 2^23585280 is an apocalyptic number.

23585280 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 23585280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39184992).

23585280 is an abundant number, since it is smaller than the sum of its proper divisors (54784704).

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

23585280 is an equidigital number, since it uses as much as digits as its factorization.

23585280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 23585280 is about 4856.4678522564. The cubic root of 23585280 is about 286.7787795359.

The spelling of 23585280 in words is "twenty-three million, five hundred eighty-five thousand, two hundred eighty".