63817248 has 96 divisors (see below), whose sum is σ = 184246272. Its totient is φ = 19180800.

The previous prime is 63817241. The next prime is 63817253. The reversal of 63817248 is 84271836.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×63817248² = 8145282284587008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (63817241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 235353 + ... + 235623.

It is an arithmetic number, because the mean of its divisors is an integer number (1919232).

Almost surely, 2^63817248 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 63817248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92123136).

63817248 is an abundant number, since it is smaller than the sum of its proper divisors (120429024).

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

63817248 is a wasteful number, since it uses less digits than its factorization.

63817248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 510 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 63817248 is about 7988.5698344572. The cubic root of 63817248 is about 399.6189036960.

The spelling of 63817248 in words is "sixty-three million, eight hundred seventeen thousand, two hundred forty-eight".