63582480 has 120 divisors (see below), whose sum is σ = 229990488. Its totient is φ = 15648768.

The previous prime is 63582479. The next prime is 63582487. The reversal of 63582480 is 8428536.

It can be written as a sum of positive squares in 4 ways, for example, as 665856 + 62916624 = 816^2 + 7932^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 (63582487) 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, 5964 + ... + 12756.

Almost surely, 2^63582480 is an apocalyptic number.

63582480 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 63582480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114995244).

63582480 is an abundant number, since it is smaller than the sum of its proper divisors (166408008).

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

63582480 is a wasteful number, since it uses less digits than its factorization.

63582480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6825 (or 6816 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 63582480 is about 7973.8623012941. The cubic root of 63582480 is about 399.1282682562.

The spelling of 63582480 in words is "sixty-three million, five hundred eighty-two thousand, four hundred eighty".