23427600 has 120 divisors (see below), whose sum is σ = 85798080. Its totient is φ = 5352960.

The previous prime is 23427571. The next prime is 23427611. The reversal of 23427600 is 672432.

It is a tau number, because it is divible by the number of its divisors (120).

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

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 23 ways as a sum of consecutive naturals, for example, 7006 + ... + 9794.

It is an arithmetic number, because the mean of its divisors is an integer number (714984).

Almost surely, 2^23427600 is an apocalyptic number.

23427600 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 23427600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42899040).

23427600 is an abundant number, since it is smaller than the sum of its proper divisors (62370480).

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

23427600 is a wasteful number, since it uses less digits than its factorization.

23427600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2817 (or 2806 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 23427600 is about 4840.2066071605. The cubic root of 23427600 is about 286.1382610223.

The spelling of 23427600 in words is "twenty-three million, four hundred twenty-seven thousand, six hundred".