23753040 has 80 divisors (see below), whose sum is σ = 77524800. Its totient is φ = 5999616.

The previous prime is 23753033. The next prime is 23753077. The reversal of 23753040 is 4035732.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 23753040.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1956 + ... + 7164.

It is an arithmetic number, because the mean of its divisors is an integer number (969060).

Almost surely, 2^23753040 is an apocalyptic number.

23753040 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 23753040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38762400).

23753040 is an abundant number, since it is smaller than the sum of its proper divisors (53771760).

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

23753040 is a wasteful number, since it uses less digits than its factorization.

23753040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5244 (or 5238 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 24.

The square root of 23753040 is about 4873.7090598434. The cubic root of 23753040 is about 287.4571177378.

Adding to 23753040 its reverse (4035732), we get a palindrome (27788772).

The spelling of 23753040 in words is "twenty-three million, seven hundred fifty-three thousand, forty".