233891064 has 240 divisors, whose sum is σ = 762808200. Its totient is φ = 66718080.

The previous prime is 233891057. The next prime is 233891069. The reversal of 233891064 is 460198332.

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 (233891069) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1489674 + ... + 1489830.

Almost surely, 2^233891064 is an apocalyptic number.

233891064 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 233891064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381404100).

233891064 is an abundant number, since it is smaller than the sum of its proper divisors (528917136).

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

233891064 is a wasteful number, since it uses less digits than its factorization.

233891064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 233891064 is about 15293.4974417234. The cubic root of 233891064 is about 616.1283746054.

The spelling of 233891064 in words is "two hundred thirty-three million, eight hundred ninety-one thousand, sixty-four".