23680600 has 48 divisors (see below), whose sum is σ = 55465200. Its totient is φ = 9402240.

The previous prime is 23680597. The next prime is 23680603. The reversal of 23680600 is 608632.

It is an interprime number because it is at equal distance from previous prime (23680597) and next prime (23680603).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23680603) 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, 33046 + ... + 33754.

It is an arithmetic number, because the mean of its divisors is an integer number (1155525).

Almost surely, 2^23680600 is an apocalyptic number.

23680600 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 23680600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27732600).

23680600 is an abundant number, since it is smaller than the sum of its proper divisors (31784600).

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

23680600 is a wasteful number, since it uses less digits than its factorization.

23680600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 23680600 is about 4866.2716734683. The cubic root of 23680600 is about 287.1645994184.

The spelling of 23680600 in words is "twenty-three million, six hundred eighty thousand, six hundred".