23680400 has 60 divisors (see below), whose sum is σ = 58017492. Its totient is φ = 9285120.

The previous prime is 23680381. The next prime is 23680427. The reversal of 23680400 is 408632.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2262016 + 21418384 = 1504^2 + 4628^2 .

It is a super-2 number, since 2×23680400² = 1121522688320000, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 20642 + ... + 21758.

Almost surely, 2^23680400 is an apocalyptic number.

23680400 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 23680400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29008746).

23680400 is an abundant number, since it is smaller than the sum of its proper divisors (34337092).

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

23680400 is a wasteful number, since it uses less digits than its factorization.

23680400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 23680400 is about 4866.2511238118. The cubic root of 23680400 is about 287.1637909778.

The spelling of 23680400 in words is "twenty-three million, six hundred eighty thousand, four hundred".