49671168 has 176 divisors, whose sum is σ = 149349120. Its totient is φ = 14598144.

The previous prime is 49671163. The next prime is 49671179. The reversal of 49671168 is 86117694.

Its product of digits (72576) is a multiple of the sum of its prime divisors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49671163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1342446 + ... + 1342482.

Almost surely, 2^49671168 is an apocalyptic number.

49671168 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 49671168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74674560).

49671168 is an abundant number, since it is smaller than the sum of its proper divisors (99677952).

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

49671168 is a wasteful number, since it uses less digits than its factorization.

49671168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 84 counting only the distinct ones).

The product of its digits is 72576, while the sum is 42.

The square root of 49671168 is about 7047.7775220278. Note that the first 3 decimals coincide. The cubic root of 49671168 is about 367.5937545980.

The spelling of 49671168 in words is "forty-nine million, six hundred seventy-one thousand, one hundred sixty-eight".