233486064 has 240 divisors, whose sum is σ = 810281472. Its totient is φ = 63638784.

The previous prime is 233486063. The next prime is 233486093. The reversal of 233486064 is 460684332.

It is a happy number.

233486064 is a `hidden beast` number, since 2 + 3 + 3 + 48 + 606 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233486063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 625782 + ... + 626154.

Almost surely, 2^233486064 is an apocalyptic number.

233486064 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 233486064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405140736).

233486064 is an abundant number, since it is smaller than the sum of its proper divisors (576795408).

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

233486064 is a wasteful number, since it uses less digits than its factorization.

233486064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 233486064 is about 15280.2507832823. The cubic root of 233486064 is about 615.7725449099.

The spelling of 233486064 in words is "two hundred thirty-three million, four hundred eighty-six thousand, sixty-four".