49085968 has 40 divisors (see below), whose sum is σ = 101789120. Its totient is φ = 22861440.

The previous prime is 49085963. The next prime is 49085969. The reversal of 49085968 is 86958094.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (49085963) 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, 17221 + ... + 19867.

It is an arithmetic number, because the mean of its divisors is an integer number (2544728).

Almost surely, 2^49085968 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 49085968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50894560).

49085968 is an abundant number, since it is smaller than the sum of its proper divisors (52703152).

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

49085968 is a wasteful number, since it uses less digits than its factorization.

49085968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2735 (or 2729 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 49.

The square root of 49085968 is about 7006.1378804588. The cubic root of 49085968 is about 366.1444481445.

The spelling of 49085968 in words is "forty-nine million, eighty-five thousand, nine hundred sixty-eight".