231293664 has 192 divisors, whose sum is σ = 778982400. Its totient is φ = 65401344.

The previous prime is 231293633. The next prime is 231293717. The reversal of 231293664 is 466392132.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1009902 + ... + 1010130.

It is an arithmetic number, because the mean of its divisors is an integer number (4057200).

Almost surely, 2^231293664 is an apocalyptic number.

231293664 is a gapful number since it is divisible by the number (24) 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 231293664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389491200).

231293664 is an abundant number, since it is smaller than the sum of its proper divisors (547688736).

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

231293664 is a wasteful number, since it uses less digits than its factorization.

231293664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 408 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 231293664 is about 15208.3419214588. The cubic root of 231293664 is about 613.8391427162.

The spelling of 231293664 in words is "two hundred thirty-one million, two hundred ninety-three thousand, six hundred sixty-four".