233639640 has 288 divisors, whose sum is σ = 868205520. Its totient is φ = 56173824.

The previous prime is 233639621. The next prime is 233639657. The reversal of 233639640 is 46936332.

233639640 is a `hidden beast` number, since 2 + 3 + 3 + 6 + 3 + 9 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 233639595 and 233639604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5433459 + ... + 5433501.

Almost surely, 2^233639640 is an apocalyptic number.

233639640 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 233639640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434102760).

233639640 is an abundant number, since it is smaller than the sum of its proper divisors (634565880).

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

233639640 is a wasteful number, since it uses less digits than its factorization.

233639640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The square root of 233639640 is about 15285.2752673938. The cubic root of 233639640 is about 615.9075239264.

The spelling of 233639640 in words is "two hundred thirty-three million, six hundred thirty-nine thousand, six hundred forty".