63986328 has 128 divisors (see below), whose sum is σ = 205632000. Its totient is φ = 18057600.

The previous prime is 63986323. The next prime is 63986353. The reversal of 63986328 is 82368936.

63986328 is a `hidden beast` number, since 6 + 3 + 9 + 8 + 632 + 8 = 666.

63986328 is a nontrivial binomial coefficient, being equal to C(11313, 2).

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 (63986323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152503 + ... + 152921.

It is an arithmetic number, because the mean of its divisors is an integer number (1606500).

Almost surely, 2^63986328 is an apocalyptic number.

63986328 is the 11312-nd triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63986328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102816000).

63986328 is an abundant number, since it is smaller than the sum of its proper divisors (141645672).

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

63986328 is a wasteful number, since it uses less digits than its factorization.

63986328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 532 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 63986328 is about 7999.1454543595. The cubic root of 63986328 is about 399.9715146382.

The spelling of 63986328 in words is "sixty-three million, nine hundred eighty-six thousand, three hundred twenty-eight".