233916984 has 240 divisors, whose sum is σ = 782119800. Its totient is φ = 65100672.

The previous prime is 233916973. The next prime is 233916989. The reversal of 233916984 is 489619332.

It is a happy number.

233916984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233916989) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1682787 + ... + 1682925.

Almost surely, 2^233916984 is an apocalyptic number.

233916984 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 233916984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391059900).

233916984 is an abundant number, since it is smaller than the sum of its proper divisors (548202816).

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

233916984 is a wasteful number, since it uses less digits than its factorization.

233916984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 204 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 233916984 is about 15294.3448372266. The cubic root of 233916984 is about 616.1511337157.

The spelling of 233916984 in words is "two hundred thirty-three million, nine hundred sixteen thousand, nine hundred eighty-four".