50605632 has 252 divisors, whose sum is σ = 185202576. Its totient is φ = 13063680.

The previous prime is 50605601. The next prime is 50605649. The reversal of 50605632 is 23650605.

50605632 is a `hidden beast` number, since 50 + 605 + 6 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a junction number, because it is equal to n+sod(n) for n = 50605596 and 50605605.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 310383 + ... + 310545.

Almost surely, 2^50605632 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 50605632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92601288).

50605632 is an abundant number, since it is smaller than the sum of its proper divisors (134596944).

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

50605632 is a wasteful number, since it uses less digits than its factorization.

50605632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 50605632 is about 7113.7635608727. The cubic root of 50605632 is about 369.8846292354.

The spelling of 50605632 in words is "fifty million, six hundred five thousand, six hundred thirty-two".