235513040 has 80 divisors (see below), whose sum is σ = 635233152. Its totient is φ = 79529472.

The previous prime is 235513007. The next prime is 235513051. The reversal of 235513040 is 40315532.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 235512997 and 235513015.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 34382 + ... + 40658.

Almost surely, 2^235513040 is an apocalyptic number.

235513040 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 235513040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317616576).

235513040 is an abundant number, since it is smaller than the sum of its proper divisors (399720112).

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

235513040 is a wasteful number, since it uses less digits than its factorization.

235513040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6364 (or 6358 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 235513040 is about 15346.4341135001. The cubic root of 235513040 is about 617.5493270326.

Adding to 235513040 its reverse (40315532), we get a palindrome (275828572).

The spelling of 235513040 in words is "two hundred thirty-five million, five hundred thirteen thousand, forty".