63865480 has 128 divisors (see below), whose sum is σ = 175841280. Its totient is φ = 20401920.

The previous prime is 63865471. The next prime is 63865489. The reversal of 63865480 is 8456836.

63865480 = 17² + 18² + ... + 576².

It is an interprime number because it is at equal distance from previous prime (63865471) and next prime (63865489).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (63865489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 302575 + ... + 302785.

It is an arithmetic number, because the mean of its divisors is an integer number (1373760).

Almost surely, 2^63865480 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 63865480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87920640).

63865480 is an abundant number, since it is smaller than the sum of its proper divisors (111975800).

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

63865480 is a wasteful number, since it uses less digits than its factorization.

63865480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 63865480 is about 7991.5880774725. The cubic root of 63865480 is about 399.7195534202.

The spelling of 63865480 in words is "sixty-three million, eight hundred sixty-five thousand, four hundred eighty".