63532080 has 160 divisors (see below), whose sum is σ = 222604800. Its totient is φ = 16651008.

The previous prime is 63532061. The next prime is 63532087. The reversal of 63532080 is 8023536.

63532080 is a `hidden beast` number, since 635 + 3 + 20 + 8 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (63532087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144501 + ... + 144939.

It is an arithmetic number, because the mean of its divisors is an integer number (1391280).

Almost surely, 2^63532080 is an apocalyptic number.

63532080 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 63532080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111302400).

63532080 is an abundant number, since it is smaller than the sum of its proper divisors (159072720).

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

63532080 is a wasteful number, since it uses less digits than its factorization.

63532080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 63532080 is about 7970.7013493168. The cubic root of 63532080 is about 399.0227812195.

The spelling of 63532080 in words is "sixty-three million, five hundred thirty-two thousand, eighty".