23585040 has 160 divisors (see below), whose sum is σ = 83030400. Its totient is φ = 6151680.

The previous prime is 23584997. The next prime is 23585041. The reversal of 23585040 is 4058532.

It is a super-2 number, since 2×23585040² = 1112508223603200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 23584995 and 23585013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23585041) 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, 131671 + ... + 131849.

It is an arithmetic number, because the mean of its divisors is an integer number (518940).

Almost surely, 2^23585040 is an apocalyptic number.

23585040 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 23585040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41515200).

23585040 is an abundant number, since it is smaller than the sum of its proper divisors (59445360).

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

23585040 is a wasteful number, since it uses less digits than its factorization.

23585040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 23585040 is about 4856.4431428773. The cubic root of 23585040 is about 286.7778067944. Note that the first 3 decimals are identical.

The spelling of 23585040 in words is "twenty-three million, five hundred eighty-five thousand, forty".