23679360 has 96 divisors (see below), whose sum is σ = 81787680. Its totient is φ = 6312960.

The previous prime is 23679343. The next prime is 23679361. The reversal of 23679360 is 6397632.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23679361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3705 + ... + 7815.

It is an arithmetic number, because the mean of its divisors is an integer number (851955).

Almost surely, 2^23679360 is an apocalyptic number.

23679360 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 23679360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40893840).

23679360 is an abundant number, since it is smaller than the sum of its proper divisors (58108320).

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

23679360 is a wasteful number, since it uses less digits than its factorization.

23679360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4136 (or 4121 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 23679360 is about 4866.1442641993. The cubic root of 23679360 is about 287.1595870128.

The spelling of 23679360 in words is "twenty-three million, six hundred seventy-nine thousand, three hundred sixty".