233861376 has 144 divisors (see below), whose sum is σ = 729364608. Its totient is φ = 65126400.

The previous prime is 233861371. The next prime is 233861377. The reversal of 233861376 is 673168332.

It is a super-2 number, since 2×233861376² = 109382286369226752, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

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 (233861371) 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 15 ways as a sum of consecutive naturals, for example, 219886 + ... + 220946.

It is an arithmetic number, because the mean of its divisors is an integer number (5065032).

Almost surely, 2^233861376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233861376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364682304).

233861376 is an abundant number, since it is smaller than the sum of its proper divisors (495503232).

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

233861376 is a wasteful number, since it uses less digits than its factorization.

233861376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1114 counting only the distinct ones).

The product of its digits is 108864, while the sum is 39.

The square root of 233861376 is about 15292.5268023306. The cubic root of 233861376 is about 616.1023049288.

The spelling of 233861376 in words is "two hundred thirty-three million, eight hundred sixty-one thousand, three hundred seventy-six".