63484560 has 200 divisors, whose sum is σ = 224969976. Its totient is φ = 16588800.

The previous prime is 63484537. The next prime is 63484583. The reversal of 63484560 is 6548436.

It is an interprime number because it is at equal distance from previous prime (63484537) and next prime (63484583).

It can be written as a sum of positive squares in 4 ways, for example, as 19607184 + 43877376 = 4428^2 + 6624^2 .

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

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 628510 + ... + 628610.

Almost surely, 2^63484560 is an apocalyptic number.

63484560 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 63484560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112484988).

63484560 is an abundant number, since it is smaller than the sum of its proper divisors (161485416).

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

63484560 is a wasteful number, since it uses less digits than its factorization.

63484560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 63484560 is about 7967.7198745940. The cubic root of 63484560 is about 398.9232709034.

The spelling of 63484560 in words is "sixty-three million, four hundred eighty-four thousand, five hundred sixty".