50984960 has 96 divisors (see below), whose sum is σ = 132088320. Its totient is φ = 18776064.

The previous prime is 50984957. The next prime is 50984963. The reversal of 50984960 is 6948905.

It is an interprime number because it is at equal distance from previous prime (50984957) and next prime (50984963).

It is a super-2 number, since 2×50984960² = 5198932292403200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50984963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132929 + ... + 133311.

It is an arithmetic number, because the mean of its divisors is an integer number (1375920).

Almost surely, 2^50984960 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 50984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66044160).

50984960 is an abundant number, since it is smaller than the sum of its proper divisors (81103360).

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

50984960 is a wasteful number, since it uses less digits than its factorization.

50984960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 41.

The square root of 50984960 is about 7140.3753402745. The cubic root of 50984960 is about 370.8065192356.

The spelling of 50984960 in words is "fifty million, nine hundred eighty-four thousand, nine hundred sixty".