49635648 has 168 divisors, whose sum is σ = 155841192. Its totient is φ = 15040512.

The previous prime is 49635647. The next prime is 49635661. The reversal of 49635648 is 84653694.

49635648 is a `hidden beast` number, since 4 + 9 + 635 + 6 + 4 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 26132544 + 23503104 = 5112^2 + 4848^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49635643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 362236 + ... + 362372.

Almost surely, 2^49635648 is an apocalyptic number.

49635648 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 49635648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77920596).

49635648 is an abundant number, since it is smaller than the sum of its proper divisors (106205544).

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

49635648 is a wasteful number, since it uses less digits than its factorization.

49635648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 196 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 49635648 is about 7045.2571280259. The cubic root of 49635648 is about 367.5061112409.

The spelling of 49635648 in words is "forty-nine million, six hundred thirty-five thousand, six hundred forty-eight".