23520000 has 270 divisors, whose sum is σ = 90992748. Its totient is φ = 5376000.

The previous prime is 23519987. The next prime is 23520017. The reversal of 23520000 is 2532.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 3359997 + ... + 3360003.

Almost surely, 2^23520000 is an apocalyptic number.

23520000 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 23520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45496374).

23520000 is an abundant number, since it is smaller than the sum of its proper divisors (67472748).

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

23520000 is an frugal number, since it uses more digits than its factorization.

23520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 23520000 is about 4849.7422611929. The cubic root of 23520000 is about 286.5139502663.

Multiplying 23520000 by its sum of digits (12), we get a square (282240000 = 16800²).

23520000 divided by its sum of digits (12) gives a square (1960000 = 1400²).

Adding to 23520000 its reverse (2532), we get a palindrome (23522532).

The spelling of 23520000 in words is "twenty-three million, five hundred twenty thousand".