23783040 has 96 divisors (see below), whose sum is σ = 82145700. Its totient is φ = 6340608.

The previous prime is 23783027. The next prime is 23783047. The reversal of 23783040 is 4038732.

It can be written as a sum of positive squares in 2 ways, for example, as 23736384 + 46656 = 4872^2 + 216^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 23782995 and 23783013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23783047) 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 11 ways as a sum of consecutive naturals, for example, 3696 + ... + 7824.

Almost surely, 2^23783040 is an apocalyptic number.

23783040 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 23783040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41072850).

23783040 is an abundant number, since it is smaller than the sum of its proper divisors (58362660).

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

23783040 is a wasteful number, since it uses less digits than its factorization.

23783040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4154 (or 4139 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 23783040 is about 4876.7858267511. The cubic root of 23783040 is about 287.5780859101.

The spelling of 23783040 in words is "twenty-three million, seven hundred eighty-three thousand, forty".