233435664 has 240 divisors, whose sum is σ = 837982080. Its totient is φ = 58890240.

The previous prime is 233435651. The next prime is 233435669. The reversal of 233435664 is 466534332.

233435664 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (233435669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 409972 + ... + 410540.

It is an arithmetic number, because the mean of its divisors is an integer number (3491592).

Almost surely, 2^233435664 is an apocalyptic number.

233435664 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 233435664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418991040).

233435664 is an abundant number, since it is smaller than the sum of its proper divisors (604546416).

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

233435664 is a wasteful number, since it uses less digits than its factorization.

233435664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 629 counting only the distinct ones).

The product of its digits is 155520, while the sum is 36.

The square root of 233435664 is about 15278.6015066825. The cubic root of 233435664 is about 615.7282350996.

Adding to 233435664 its reverse (466534332), we get a palindrome (699969996).

The spelling of 233435664 in words is "two hundred thirty-three million, four hundred thirty-five thousand, six hundred sixty-four".