63231600 has 240 divisors, whose sum is σ = 221414400. Its totient is φ = 15375360.

The previous prime is 63231547. The next prime is 63231607. The reversal of 63231600 is 613236.

63231600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63231607) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 800361 + ... + 800439.

It is an arithmetic number, because the mean of its divisors is an integer number (922560).

Almost surely, 2^63231600 is an apocalyptic number.

63231600 is a gapful number since it is divisible by the number (60) 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 63231600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110707200).

63231600 is an abundant number, since it is smaller than the sum of its proper divisors (158182800).

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

63231600 is a wasteful number, since it uses less digits than its factorization.

63231600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 63231600 is about 7951.8299780617. The cubic root of 63231600 is about 398.3927169198.

Adding to 63231600 its reverse (613236), we get a palindrome (63844836).

The spelling of 63231600 in words is "sixty-three million, two hundred thirty-one thousand, six hundred".