49688160 has 96 divisors (see below), whose sum is σ = 159177312. Its totient is φ = 13025280.

The previous prime is 49688141. The next prime is 49688167. The reversal of 49688160 is 6188694.

49688160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49688167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28432 + ... + 30128.

It is an arithmetic number, because the mean of its divisors is an integer number (1658097).

Almost surely, 2^49688160 is an apocalyptic number.

49688160 is a gapful number since it is divisible by the number (40) 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 49688160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79588656).

49688160 is an abundant number, since it is smaller than the sum of its proper divisors (109489152).

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

49688160 is a wasteful number, since it uses less digits than its factorization.

49688160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 49688160 is about 7048.9829053559. The cubic root of 49688160 is about 367.6356665107.

The spelling of 49688160 in words is "forty-nine million, six hundred eighty-eight thousand, one hundred sixty".