63117360 has 80 divisors (see below), whose sum is σ = 217411680. Its totient is φ = 16830720.

The previous prime is 63117337. The next prime is 63117361. The reversal of 63117360 is 6371136.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×63117360² = 7967602266739200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (63117361) 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, 12451 + ... + 16770.

It is an arithmetic number, because the mean of its divisors is an integer number (2717646).

Almost surely, 2^63117360 is an apocalyptic number.

63117360 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

63117360 is an abundant number, since it is smaller than the sum of its proper divisors (154294320).

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

63117360 is a wasteful number, since it uses less digits than its factorization.

63117360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29243 (or 29231 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 63117360 is about 7944.6434784703. The cubic root of 63117360 is about 398.1526480277.

Adding to 63117360 its reverse (6371136), we get a palindrome (69488496).

The spelling of 63117360 in words is "sixty-three million, one hundred seventeen thousand, three hundred sixty".