50961680 has 80 divisors (see below), whose sum is σ = 147740544. Its totient is φ = 15882240.

The previous prime is 50961679. The next prime is 50961683. The reversal of 50961680 is 8616905.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 50961680.

It is not an unprimeable number, because it can be changed into a prime (50961683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2024 + ... + 10296.

Almost surely, 2^50961680 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 50961680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73870272).

50961680 is an abundant number, since it is smaller than the sum of its proper divisors (96778864).

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

50961680 is a wasteful number, since it uses less digits than its factorization.

50961680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8304 (or 8298 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 50961680 is about 7138.7449877412. The cubic root of 50961680 is about 370.7500732434.

It can be divided in two parts, 5096 and 1680, that added together give a palindrome (6776).

The spelling of 50961680 in words is "fifty million, nine hundred sixty-one thousand, six hundred eighty".