63520000 has 90 divisors (see below), whose sum is σ = 158838218. Its totient is φ = 25344000.

The previous prime is 63519977. The next prime is 63520031. The reversal of 63520000 is 2536.

It can be written as a sum of positive squares in 5 ways, for example, as 19642624 + 43877376 = 4432^2 + 6624^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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 9 ways as a sum of consecutive naturals, for example, 159802 + ... + 160198.

Almost surely, 2^63520000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79419109).

63520000 is an abundant number, since it is smaller than the sum of its proper divisors (95318218).

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

63520000 is an frugal number, since it uses more digits than its factorization.

63520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 63520000 is about 7969.9435380685. The cubic root of 63520000 is about 398.9974895310.

Adding to 63520000 its reverse (2536), we get a palindrome (63522536).

The spelling of 63520000 in words is "sixty-three million, five hundred twenty thousand".