23505040 has 80 divisors (see below), whose sum is σ = 59714928. Its totient is φ = 8552448.

The previous prime is 23504983. The next prime is 23505059. The reversal of 23505040 is 4050532.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4460544 + 19044496 = 2112^2 + 4364^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 23504999 and 23505017.

It is a congruent number.

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, 100764 + ... + 100996.

Almost surely, 2^23505040 is an apocalyptic number.

23505040 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 23505040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29857464).

23505040 is an abundant number, since it is smaller than the sum of its proper divisors (36209888).

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

23505040 is a wasteful number, since it uses less digits than its factorization.

23505040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 19.

The square root of 23505040 is about 4848.1996658554. The cubic root of 23505040 is about 286.4531912274.

Adding to 23505040 its reverse (4050532), we get a palindrome (27555572).

The spelling of 23505040 in words is "twenty-three million, five hundred five thousand, forty".