49817664 has 84 divisors (see below), whose sum is σ = 153800556. Its totient is φ = 15326208.

The previous prime is 49817629. The next prime is 49817707. The reversal of 49817664 is 46671894.

It can be written as a sum of positive squares in 2 ways, for example, as 3686400 + 46131264 = 1920^2 + 6792^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4162 + ... + 10814.

It is an arithmetic number, because the mean of its divisors is an integer number (1830959).

Almost surely, 2^49817664 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 49817664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76900278).

49817664 is an abundant number, since it is smaller than the sum of its proper divisors (103982892).

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

49817664 is a wasteful number, since it uses less digits than its factorization.

49817664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6684 (or 6671 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 49817664 is about 7058.1629337952. The cubic root of 49817664 is about 367.9547833543.

The spelling of 49817664 in words is "forty-nine million, eight hundred seventeen thousand, six hundred sixty-four".