63522000 has 120 divisors (see below), whose sum is σ = 221924040. Its totient is φ = 16934400.

The previous prime is 63521993. The next prime is 63522029. The reversal of 63522000 is 22536.

It can be written as a sum of positive squares in 4 ways, for example, as 12027024 + 51494976 = 3468^2 + 7176^2 .

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 (18).

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 23 ways as a sum of consecutive naturals, for example, 16236 + ... + 19764.

It is an arithmetic number, because the mean of its divisors is an integer number (1849367).

Almost surely, 2^63522000 is an apocalyptic number.

63522000 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 63522000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110962020).

63522000 is an abundant number, since it is smaller than the sum of its proper divisors (158402040).

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

63522000 is a wasteful number, since it uses less digits than its factorization.

63522000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3558 (or 3539 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 63522000 is about 7970.0690084842. The cubic root of 63522000 is about 399.0016771181.

Adding to 63522000 its reverse (22536), we get a palindrome (63544536).

The spelling of 63522000 in words is "sixty-three million, five hundred twenty-two thousand".