23696400 has 360 divisors, whose sum is σ = 98160384. Its totient is φ = 4838400.

The previous prime is 23696399. The next prime is 23696411. The reversal of 23696400 is 469632.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 764385 + ... + 764415.

Almost surely, 2^23696400 is an apocalyptic number.

23696400 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 23696400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49080192).

23696400 is an abundant number, since it is smaller than the sum of its proper divisors (74463984).

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

23696400 is a wasteful number, since it uses less digits than its factorization.

23696400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 23696400 is about 4867.8948221998. The cubic root of 23696400 is about 287.2284518539.

The spelling of 23696400 in words is "twenty-three million, six hundred ninety-six thousand, four hundred".