235365840 has 120 divisors (see below), whose sum is σ = 799535880. Its totient is φ = 62042112.

The previous prime is 235365829. The next prime is 235365853. The reversal of 235365840 is 48563532.

It is a happy number.

235365840 is a `hidden beast` number, since 23 + 53 + 6 + 584 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2742336 + 232623504 = 1656^2 + 15252^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 = 235365795 and 235365804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62244 + ... + 65916.

It is an arithmetic number, because the mean of its divisors is an integer number (6662799).

Almost surely, 2^235365840 is an apocalyptic number.

235365840 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 235365840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399767940).

235365840 is an abundant number, since it is smaller than the sum of its proper divisors (564170040).

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

235365840 is a wasteful number, since it uses less digits than its factorization.

235365840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3781 (or 3772 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 235365840 is about 15341.6374614967. The cubic root of 235365840 is about 617.4206403064.

The spelling of 235365840 in words is "two hundred thirty-five million, three hundred sixty-five thousand, eight hundred forty".