23504000 has 128 divisors (see below), whose sum is σ = 63488880. Its totient is φ = 8601600.

The previous prime is 23503981. The next prime is 23504011. The reversal of 23504000 is 40532.

It can be written as a sum of positive squares in 8 ways, for example, as 2637376 + 20866624 = 1624^2 + 4568^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207944 + ... + 208056.

Almost surely, 2^23504000 is an apocalyptic number.

23504000 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 23504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31744440).

23504000 is an abundant number, since it is smaller than the sum of its proper divisors (39984880).

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

23504000 is a wasteful number, since it uses less digits than its factorization.

23504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 14.

The square root of 23504000 is about 4848.0924083602. The cubic root of 23504000 is about 286.4489663787.

Adding to 23504000 its reverse (40532), we get a palindrome (23544532).

The spelling of 23504000 in words is "twenty-three million, five hundred four thousand".