23835120 has 80 divisors (see below), whose sum is σ = 77792640. Its totient is φ = 6020352.

The previous prime is 23835113. The next prime is 23835121. The reversal of 23835120 is 2153832.

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

It is a super-2 number, since 2×23835120² = 1136225890828800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23835121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1947 + ... + 7173.

It is an arithmetic number, because the mean of its divisors is an integer number (972408).

Almost surely, 2^23835120 is an apocalyptic number.

23835120 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 23835120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38896320).

23835120 is an abundant number, since it is smaller than the sum of its proper divisors (53957520).

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

23835120 is a wasteful number, since it uses less digits than its factorization.

23835120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5262 (or 5256 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 23835120 is about 4882.1224892458. The cubic root of 23835120 is about 287.7878452982.

Adding to 23835120 its reverse (2153832), we get a palindrome (25988952).

It can be divided in two parts, 2383 and 5120, that added together give a triangular number (7503 = T₁₂₂).

The spelling of 23835120 in words is "twenty-three million, eight hundred thirty-five thousand, one hundred twenty".