231961600 has 264 divisors, whose sum is σ = 671628888. Its totient is φ = 78643200.

The previous prime is 231961579. The next prime is 231961603. The reversal of 231961600 is 6169132.

It can be written as a sum of positive squares in 12 ways, for example, as 134189056 + 97772544 = 11584^2 + 9888^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231961603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5657580 + ... + 5657620.

Almost surely, 2^231961600 is an apocalyptic number.

231961600 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 231961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335814444).

231961600 is an abundant number, since it is smaller than the sum of its proper divisors (439667288).

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

231961600 is a wasteful number, since it uses less digits than its factorization.

231961600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 231961600 is about 15230.2856178077. The cubic root of 231961600 is about 614.4294618395.

The spelling of 231961600 in words is "two hundred thirty-one million, nine hundred sixty-one thousand, six hundred".