23005824 has 64 divisors (see below), whose sum is σ = 61632480. Its totient is φ = 7603200.

The previous prime is 23005799. The next prime is 23005831. The reversal of 23005824 is 42850032.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 23005794 and 23005803.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69339 + ... + 69669.

Almost surely, 2^23005824 is an apocalyptic number.

23005824 is a gapful number since it is divisible by the number (24) 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 23005824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30816240).

23005824 is an abundant number, since it is smaller than the sum of its proper divisors (38626656).

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

23005824 is a wasteful number, since it uses less digits than its factorization.

23005824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 23005824 is about 4796.4386788533. The cubic root of 23005824 is about 284.4106998453.

Adding to 23005824 its reverse (42850032), we get a palindrome (65855856).

The spelling of 23005824 in words is "twenty-three million, five thousand, eight hundred twenty-four".