23845640 has 64 divisors (see below), whose sum is σ = 66044160. Its totient is φ = 7545600.

The previous prime is 23845621. The next prime is 23845663. The reversal of 23845640 is 4654832.

It is a super-3 number, since 3×23845640³ (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 23845597 and 23845606.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 365 + ... + 6915.

It is an arithmetic number, because the mean of its divisors is an integer number (1031940).

Almost surely, 2^23845640 is an apocalyptic number.

23845640 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 23845640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33022080).

23845640 is an abundant number, since it is smaller than the sum of its proper divisors (42198520).

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

23845640 is a wasteful number, since it uses less digits than its factorization.

23845640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6582 (or 6578 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 23845640 is about 4883.1997706422. The cubic root of 23845640 is about 287.8301789474.

The spelling of 23845640 in words is "twenty-three million, eight hundred forty-five thousand, six hundred forty".