63825520 has 160 divisors (see below), whose sum is σ = 174363840. Its totient is φ = 21504000.

The previous prime is 63825467. The next prime is 63825527. The reversal of 63825520 is 2552836.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63825527) 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, 1046290 + ... + 1046350.

It is an arithmetic number, because the mean of its divisors is an integer number (1089774).

Almost surely, 2^63825520 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 63825520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87181920).

63825520 is an abundant number, since it is smaller than the sum of its proper divisors (110538320).

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

63825520 is a wasteful number, since it uses less digits than its factorization.

63825520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 63825520 is about 7989.0875574123. The cubic root of 63825520 is about 399.6361691682.

The spelling of 63825520 in words is "sixty-three million, eight hundred twenty-five thousand, five hundred twenty".