233406720 has 108 divisors (see below), whose sum is σ = 807602796. Its totient is φ = 62238720.

The previous prime is 233406713. The next prime is 233406721. The reversal of 233406720 is 27604332.

233406720 is a `hidden beast` number, since 233 + 406 + 7 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31539456 + 201867264 = 5616^2 + 14208^2 .

It is a super-3 number, since 3×233406720³ (a number of 26 digits) contains 333 as substring.

It is a zygodrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (233406721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1390 + ... + 21650.

Almost surely, 2^233406720 is an apocalyptic number.

233406720 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 233406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403801398).

233406720 is an abundant number, since it is smaller than the sum of its proper divisors (574196076).

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

233406720 is a wasteful number, since it uses less digits than its factorization.

233406720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20288 (or 20271 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 233406720 is about 15277.6542702078. The cubic root of 233406720 is about 615.7027857255.

The spelling of 233406720 in words is "two hundred thirty-three million, four hundred six thousand, seven hundred twenty".