63198936 has 48 divisors (see below), whose sum is σ = 172326960. Its totient is φ = 20923200.

The previous prime is 63198929. The next prime is 63198983. The reversal of 63198936 is 63989136.

63198936 is a `hidden beast` number, since 631 + 9 + 8 + 9 + 3 + 6 = 666.

63198936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 63198891 and 63198900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7966 + ... + 13778.

It is an arithmetic number, because the mean of its divisors is an integer number (3590145).

Almost surely, 2^63198936 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 63198936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86163480).

63198936 is an abundant number, since it is smaller than the sum of its proper divisors (109128024).

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

63198936 is a wasteful number, since it uses less digits than its factorization.

63198936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5976 (or 5969 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 63198936 is about 7949.7758458965. The cubic root of 63198936 is about 398.3241049120.

It can be divided in two parts, 631989 and 36, that added together give a square (632025 = 795²).

The spelling of 63198936 in words is "sixty-three million, one hundred ninety-eight thousand, nine hundred thirty-six".