63085760 has 56 divisors (see below), whose sum is σ = 151424640. Its totient is φ = 25032704.

The previous prime is 63085751. The next prime is 63085769. The reversal of 63085760 is 6758036.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (63085751) and next prime (63085769).

It is a super-2 number, since 2×63085760² = 7959626229555200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 63085760.

It is not an unprimeable number, because it can be changed into a prime (63085769) 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 7 ways as a sum of consecutive naturals, for example, 43121 + ... + 44559.

Almost surely, 2^63085760 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 63085760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75712320).

63085760 is an abundant number, since it is smaller than the sum of its proper divisors (88338880).

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

63085760 is a wasteful number, since it uses less digits than its factorization.

63085760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1593 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 63085760 is about 7942.6544681234. The cubic root of 63085760 is about 398.0861912772.

The spelling of 63085760 in words is "sixty-three million, eighty-five thousand, seven hundred sixty".