233504640 has 128 divisors (see below), whose sum is σ = 827056800. Its totient is φ = 62263296.

The previous prime is 233504633. The next prime is 233504651. The reversal of 233504640 is 46405332.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10524 + ... + 24036.

Almost surely, 2^233504640 is an apocalyptic number.

233504640 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 233504640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413528400).

233504640 is an abundant number, since it is smaller than the sum of its proper divisors (593552160).

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

233504640 is a wasteful number, since it uses less digits than its factorization.

233504640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13541 (or 13523 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 233504640 is about 15280.8586146198. The cubic root of 233504640 is about 615.7888746318.

Adding to 233504640 its reverse (46405332), we get a palindrome (279909972).

The spelling of 233504640 in words is "two hundred thirty-three million, five hundred four thousand, six hundred forty".