63681828 has 48 divisors (see below), whose sum is σ = 171346560. Its totient is φ = 18031104.

The previous prime is 63681823. The next prime is 63681829. The reversal of 63681828 is 82818636.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 63681828.

It is not an unprimeable number, because it can be changed into a prime (63681823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6138 + ... + 12846.

It is an arithmetic number, because the mean of its divisors is an integer number (3569720).

Almost surely, 2^63681828 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 63681828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85673280).

63681828 is an abundant number, since it is smaller than the sum of its proper divisors (107664732).

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

63681828 is a wasteful number, since it uses less digits than its factorization.

63681828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6836 (or 6834 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The square root of 63681828 is about 7980.0894731826. The cubic root of 63681828 is about 399.3360401698.

The spelling of 63681828 in words is "sixty-three million, six hundred eighty-one thousand, eight hundred twenty-eight".