49583680 has 56 divisors (see below), whose sum is σ = 119466360. Its totient is φ = 19599360.

The previous prime is 49583671. The next prime is 49583689. The reversal of 49583680 is 8638594.

It is an interprime number because it is at equal distance from previous prime (49583671) and next prime (49583689).

It can be written as a sum of positive squares in 4 ways, for example, as 2359296 + 47224384 = 1536^2 + 6872^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49583689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27610 + ... + 29350.

Almost surely, 2^49583680 is an apocalyptic number.

49583680 is a gapful number since it is divisible by the number (40) 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 49583680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59733180).

49583680 is an abundant number, since it is smaller than the sum of its proper divisors (69882680).

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

49583680 is a wasteful number, since it uses less digits than its factorization.

49583680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1847 (or 1837 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The square root of 49583680 is about 7041.5680071984. The cubic root of 49583680 is about 367.3778081122.

The spelling of 49583680 in words is "forty-nine million, five hundred eighty-three thousand, six hundred eighty".