231362640 has 120 divisors (see below), whose sum is σ = 779950080. Its totient is φ = 61462272.

The previous prime is 231362627. The next prime is 231362647. The reversal of 231362640 is 46263132.

231362640 is a `hidden beast` number, since 2 + 3 + 13 + 6 + 2 + 640 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231362647) 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 23 ways as a sum of consecutive naturals, for example, 275341 + ... + 276179.

It is an arithmetic number, because the mean of its divisors is an integer number (6499584).

Almost surely, 2^231362640 is an apocalyptic number.

231362640 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 231362640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389975040).

231362640 is an abundant number, since it is smaller than the sum of its proper divisors (548587440).

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

231362640 is a wasteful number, since it uses less digits than its factorization.

231362640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 231362640 is about 15210.6094552454. The cubic root of 231362640 is about 613.9001560038.

The spelling of 231362640 in words is "two hundred thirty-one million, three hundred sixty-two thousand, six hundred forty".