63982240 has 72 divisors (see below), whose sum is σ = 175858452. Its totient is φ = 21934080.

The previous prime is 63982231. The next prime is 63982273. The reversal of 63982240 is 4228936.

It can be written as a sum of positive squares in 2 ways, for example, as 62789776 + 1192464 = 7924^2 + 1092^2 .

It is a junction number, because it is equal to n+sod(n) for n = 63982196 and 63982205.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3760 + ... + 11920.

Almost surely, 2^63982240 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 63982240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87929226).

63982240 is an abundant number, since it is smaller than the sum of its proper divisors (111876212).

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

63982240 is a wasteful number, since it uses less digits than its factorization.

63982240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8190 (or 8175 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 63982240 is about 7998.8899229831. The cubic root of 63982240 is about 399.9629965770.

The spelling of 63982240 in words is "sixty-three million, nine hundred eighty-two thousand, two hundred forty".