63825408 has 180 divisors, whose sum is σ = 201346860. Its totient is φ = 20155392.

The previous prime is 63825403. The next prime is 63825413. The reversal of 63825408 is 80452836.

It is an interprime number because it is at equal distance from previous prime (63825403) and next prime (63825413).

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

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63825403) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3359223 + ... + 3359241.

Almost surely, 2^63825408 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 63825408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100673430).

63825408 is an abundant number, since it is smaller than the sum of its proper divisors (137521452).

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

63825408 is an frugal number, since it uses more digits than its factorization.

63825408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 24 counting only the distinct ones).

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

The square root of 63825408 is about 7989.0805478478. The cubic root of 63825408 is about 399.6359354096.

The spelling of 63825408 in words is "sixty-three million, eight hundred twenty-five thousand, four hundred eight".