49075668 has 108 divisors (see below), whose sum is σ = 135773820. Its totient is φ = 14936064.

The previous prime is 49075667. The next prime is 49075673. The reversal of 49075668 is 86657094.

It can be written as a sum of positive squares in 6 ways, for example, as 2862864 + 46212804 = 1692^2 + 6798^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49075667) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 551368 + ... + 551456.

It is an arithmetic number, because the mean of its divisors is an integer number (1257165).

Almost surely, 2^49075668 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 49075668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67886910).

49075668 is an abundant number, since it is smaller than the sum of its proper divisors (86698152).

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

49075668 is a wasteful number, since it uses less digits than its factorization.

49075668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 49075668 is about 7005.4027721467. The cubic root of 49075668 is about 366.1188362654.

The spelling of 49075668 in words is "forty-nine million, seventy-five thousand, six hundred sixty-eight".