233324560 has 80 divisors (see below), whose sum is σ = 652636800. Its totient is φ = 75783168.

The previous prime is 233324519. The next prime is 233324593. The reversal of 233324560 is 65423332.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 325 + ... + 21604.

It is an arithmetic number, because the mean of its divisors is an integer number (8157960).

Almost surely, 2^233324560 is an apocalyptic number.

233324560 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 233324560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326318400).

233324560 is an abundant number, since it is smaller than the sum of its proper divisors (419312240).

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

233324560 is a wasteful number, since it uses less digits than its factorization.

233324560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21968 (or 21962 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 28.

The square root of 233324560 is about 15274.9651390764. The cubic root of 233324560 is about 615.6305340532.

Adding to 233324560 its reverse (65423332), we get a palindrome (298747892).

The spelling of 233324560 in words is "two hundred thirty-three million, three hundred twenty-four thousand, five hundred sixty".