235982160 has 240 divisors, whose sum is σ = 839529600. Its totient is φ = 61585920.

The previous prime is 235982143. The next prime is 235982161. The reversal of 235982160 is 61289532.

235982160 is a `hidden beast` number, since 2 + 3 + 598 + 2 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (235982161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1185741 + ... + 1185939.

It is an arithmetic number, because the mean of its divisors is an integer number (3498040).

Almost surely, 2^235982160 is an apocalyptic number.

235982160 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 235982160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419764800).

235982160 is an abundant number, since it is smaller than the sum of its proper divisors (603547440).

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

235982160 is a wasteful number, since it uses less digits than its factorization.

235982160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 235982160 is about 15361.7108422207. The cubic root of 235982160 is about 617.9590886293.

The spelling of 235982160 in words is "two hundred thirty-five million, nine hundred eighty-two thousand, one hundred sixty".