235664640 has 180 divisors, whose sum is σ = 843622164. Its totient is φ = 62816256.

The previous prime is 235664633. The next prime is 235664641. The reversal of 235664640 is 46466532.

235664640 is a `hidden beast` number, since 2 + 3 + 5 + 6 + 6 + 4 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 153363456 + 82301184 = 12384^2 + 9072^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 = 235664595 and 235664604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235664641) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 102544 + ... + 104816.

Almost surely, 2^235664640 is an apocalyptic number.

235664640 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 235664640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421811082).

235664640 is an abundant number, since it is smaller than the sum of its proper divisors (607957524).

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

235664640 is an equidigital number, since it uses as much as digits as its factorization.

235664640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2306 (or 2283 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 235664640 is about 15351.3725770695. The cubic root of 235664640 is about 617.6818043359.

The spelling of 235664640 in words is "two hundred thirty-five million, six hundred sixty-four thousand, six hundred forty".