63231840 has 480 divisors, whose sum is σ = 276623424. Its totient is φ = 13271040.

The previous prime is 63231827. The next prime is 63231841. The reversal of 63231840 is 4813236.

It is a happy number.

63231840 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 (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63231841) 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 79 ways as a sum of consecutive naturals, for example, 1542220 + ... + 1542260.

Almost surely, 2^63231840 is an apocalyptic number.

63231840 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 63231840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138311712).

63231840 is an abundant number, since it is smaller than the sum of its proper divisors (213391584).

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

63231840 is a wasteful number, since it uses less digits than its factorization.

63231840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 63231840 is about 7951.8450689133. The cubic root of 63231840 is about 398.3932209617.

The spelling of 63231840 in words is "sixty-three million, two hundred thirty-one thousand, eight hundred forty".