23680000 has 110 divisors (see below), whose sum is σ = 60750866. Its totient is φ = 9216000.

The previous prime is 23679973. The next prime is 23680003. The reversal of 23680000 is 8632.

It can be written as a sum of positive squares in 5 ways, for example, as 4460544 + 19219456 = 2112^2 + 4384^2 .

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 23680000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23680003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 639982 + ... + 640018.

Almost surely, 2^23680000 is an apocalyptic number.

23680000 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 23680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30375433).

23680000 is an abundant number, since it is smaller than the sum of its proper divisors (37070866).

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

23680000 is an frugal number, since it uses more digits than its factorization.

23680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 23680000 is about 4866.2100242386. The cubic root of 23680000 is about 287.1621740827.

Adding to 23680000 its reverse (8632), we get a palindrome (23688632).

The spelling of 23680000 in words is "twenty-three million, six hundred eighty thousand".