23240800 has 144 divisors (see below), whose sum is σ = 65620800. Its totient is φ = 7948800.

The previous prime is 23240797. The next prime is 23240831. The reversal of 23240800 is 804232.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167131 + ... + 167269.

It is an arithmetic number, because the mean of its divisors is an integer number (455700).

Almost surely, 2^23240800 is an apocalyptic number.

23240800 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 23240800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32810400).

23240800 is an abundant number, since it is smaller than the sum of its proper divisors (42380000).

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

23240800 is a wasteful number, since it uses less digits than its factorization.

23240800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 23240800 is about 4820.8712905449. The cubic root of 23240800 is about 285.3757227810.

The spelling of 23240800 in words is "twenty-three million, two hundred forty thousand, eight hundred".