63461328 has 80 divisors (see below), whose sum is σ = 190225920. Its totient is φ = 17854848.

The previous prime is 63461297. The next prime is 63461329. The reversal of 63461328 is 82316436.

63461328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63461329) 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 15 ways as a sum of consecutive naturals, for example, 21103 + ... + 23921.

It is an arithmetic number, because the mean of its divisors is an integer number (2377824).

Almost surely, 2^63461328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63461328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95112960).

63461328 is an abundant number, since it is smaller than the sum of its proper divisors (126764592).

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

63461328 is a wasteful number, since it uses less digits than its factorization.

63461328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2904 (or 2898 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 63461328 is about 7966.2618586135. The cubic root of 63461328 is about 398.8746033420.

The spelling of 63461328 in words is "sixty-three million, four hundred sixty-one thousand, three hundred twenty-eight".