235825920 has 216 divisors, whose sum is σ = 890587152. Its totient is φ = 57139200.

The previous prime is 235825913. The next prime is 235825943. The reversal of 235825920 is 29528532.

235825920 is a `hidden beast` number, since 2 + 3 + 582 + 59 + 20 = 666.

It is a super-2 number, since 2×235825920² = 111227729087692800, which contains 22 as substring.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 125790 + ... + 127650.

Almost surely, 2^235825920 is an apocalyptic number.

235825920 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 235825920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445293576).

235825920 is an abundant number, since it is smaller than the sum of its proper divisors (654761232).

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

235825920 is a wasteful number, since it uses less digits than its factorization.

235825920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1899 (or 1882 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 235825920 is about 15356.6246291299. The cubic root of 235825920 is about 617.8226782556.

The spelling of 235825920 in words is "two hundred thirty-five million, eight hundred twenty-five thousand, nine hundred twenty".