63514980 has 72 divisors (see below), whose sum is σ = 193552632. Its totient is φ = 16859136.

The previous prime is 63514963. The next prime is 63514987. The reversal of 63514980 is 8941536.

63514980 is a `hidden beast` number, since 63 + 514 + 9 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 44435556 + 19079424 = 6666^2 + 4368^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (63514987) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45574 + ... + 46946.

It is an arithmetic number, because the mean of its divisors is an integer number (2688231).

Almost surely, 2^63514980 is an apocalyptic number.

63514980 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63514980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96776316).

63514980 is an abundant number, since it is smaller than the sum of its proper divisors (130037652).

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

63514980 is a wasteful number, since it uses less digits than its factorization.

63514980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1645 (or 1640 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 63514980 is about 7969.6285986237. The cubic root of 63514980 is about 398.9869783000.

The spelling of 63514980 in words is "sixty-three million, five hundred fourteen thousand, nine hundred eighty".