50616800 has 144 divisors (see below), whose sum is σ = 138241152. Its totient is φ = 17971200.

The previous prime is 50616799. The next prime is 50616809. The reversal of 50616800 is 861605.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 50616800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50616809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 322322 + ... + 322478.

It is an arithmetic number, because the mean of its divisors is an integer number (960008).

Almost surely, 2^50616800 is an apocalyptic number.

50616800 is a gapful number since it is divisible by the number (50) 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 50616800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69120576).

50616800 is an abundant number, since it is smaller than the sum of its proper divisors (87624352).

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

50616800 is a wasteful number, since it uses less digits than its factorization.

50616800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 50616800 is about 7114.5484747804. The cubic root of 50616800 is about 369.9118367980.

The spelling of 50616800 in words is "fifty million, six hundred sixteen thousand, eight hundred".