233840 has 40 divisors (see below), whose sum is σ = 565440. Its totient is φ = 89856.

The previous prime is 233837. The next prime is 233851. The reversal of 233840 is 48332.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×233840² = 109362291200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2921 + ... + 2999.

It is an arithmetic number, because the mean of its divisors is an integer number (14136).

2²³³⁸⁴⁰ is an apocalyptic number.

233840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

233840 is the 395-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282720).

233840 is an abundant number, since it is smaller than the sum of its proper divisors (331600).

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

233840 is a wasteful number, since it uses less digits than its factorization.

233840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 233840 is about 483.5700569721. The cubic root of 233840 is about 61.6083532833.

The spelling of 233840 in words is "two hundred thirty-three thousand, eight hundred forty".