233723880 has 320 divisors, whose sum is σ = 878169600. Its totient is φ = 55365120.

The previous prime is 233723873. The next prime is 233723887. The reversal of 233723880 is 88327332.

It is an interprime number because it is at equal distance from previous prime (233723873) and next prime (233723887).

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 (233723887) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1305631 + ... + 1305809.

It is an arithmetic number, because the mean of its divisors is an integer number (2744280).

Almost surely, 2^233723880 is an apocalyptic number.

233723880 is a gapful number since it is divisible by the number (20) 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 233723880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439084800).

233723880 is an abundant number, since it is smaller than the sum of its proper divisors (644445720).

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

233723880 is a wasteful number, since it uses less digits than its factorization.

233723880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 233723880 is about 15288.0306122142. The cubic root of 233723880 is about 615.9815379298.

The spelling of 233723880 in words is "two hundred thirty-three million, seven hundred twenty-three thousand, eight hundred eighty".