63141936 has 80 divisors (see below), whose sum is σ = 191654400. Its totient is φ = 17660160.

The previous prime is 63141917. The next prime is 63141971. The reversal of 63141936 is 63914136.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 63141897 and 63141906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2265 + ... + 11463.

It is an arithmetic number, because the mean of its divisors is an integer number (2395680).

Almost surely, 2^63141936 is an apocalyptic number.

63141936 is a gapful number since it is divisible by the number (66) 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 63141936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95827200).

63141936 is an abundant number, since it is smaller than the sum of its proper divisors (128512464).

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

63141936 is a wasteful number, since it uses less digits than its factorization.

63141936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9234 (or 9228 counting only the distinct ones).

The product of its digits is 11664, while the sum is 33.

The square root of 63141936 is about 7946.1900304486. The cubic root of 63141936 is about 398.2043175407.

The spelling of 63141936 in words is "sixty-three million, one hundred forty-one thousand, nine hundred thirty-six".