233985024 has 440 divisors, whose sum is σ = 887710208. Its totient is φ = 59719680.

The previous prime is 233985023. The next prime is 233985029. The reversal of 233985024 is 420589332.

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

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 233985024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233985023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7547889 + ... + 7547919.

Almost surely, 2^233985024 is an apocalyptic number.

233985024 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 233985024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443855104).

233985024 is an abundant number, since it is smaller than the sum of its proper divisors (653725184).

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

233985024 is a wasteful number, since it uses less digits than its factorization.

233985024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 233985024 is about 15296.5690270727. The cubic root of 233985024 is about 616.2108683821.

The spelling of 233985024 in words is "two hundred thirty-three million, nine hundred eighty-five thousand, twenty-four".