49807968 has 192 divisors, whose sum is σ = 162570240. Its totient is φ = 13036032.

The previous prime is 49807963. The next prime is 49807981. The reversal of 49807968 is 86970894.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 49807968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49807963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 600055 + ... + 600137.

It is an arithmetic number, because the mean of its divisors is an integer number (846720).

Almost surely, 2^49807968 is an apocalyptic number.

49807968 is a gapful number since it is divisible by the number (48) 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 49807968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81285120).

49807968 is an abundant number, since it is smaller than the sum of its proper divisors (112762272).

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

49807968 is a wasteful number, since it uses less digits than its factorization.

49807968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The square root of 49807968 is about 7057.4760360911. The cubic root of 49807968 is about 367.9309101550.

The spelling of 49807968 in words is "forty-nine million, eight hundred seven thousand, nine hundred sixty-eight".