50084160 has 224 divisors, whose sum is σ = 188732160. Its totient is φ = 11010048.

The previous prime is 50084147. The next prime is 50084161. The reversal of 50084160 is 6148005.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 50084160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50084161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194752 + ... + 195008.

Almost surely, 2^50084160 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 50084160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94366080).

50084160 is an abundant number, since it is smaller than the sum of its proper divisors (138648000).

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

50084160 is a wasteful number, since it uses less digits than its factorization.

50084160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 50084160 is about 7077.0163204560. The cubic root of 50084160 is about 368.6097327279.

The spelling of 50084160 in words is "fifty million, eighty-four thousand, one hundred sixty".