49887680 has 112 divisors (see below), whose sum is σ = 126406656. Its totient is φ = 18723840.

The previous prime is 49887671. The next prime is 49887683. The reversal of 49887680 is 8678894.

49887680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49887683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 466187 + ... + 466293.

Almost surely, 2^49887680 is an apocalyptic number.

49887680 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 49887680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63203328).

49887680 is an abundant number, since it is smaller than the sum of its proper divisors (76518976).

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

49887680 is a wasteful number, since it uses less digits than its factorization.

49887680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 50.

The square root of 49887680 is about 7063.1211231296. The cubic root of 49887680 is about 368.1270827631.

The spelling of 49887680 in words is "forty-nine million, eight hundred eighty-seven thousand, six hundred eighty".