49716160 has 224 divisors, whose sum is σ = 145938240. Its totient is φ = 15925248.

The previous prime is 49716137. The next prime is 49716169. The reversal of 49716160 is 6161794.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49716169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1343662 + ... + 1343698.

It is an arithmetic number, because the mean of its divisors is an integer number (651510).

Almost surely, 2^49716160 is an apocalyptic number.

49716160 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 49716160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72969120).

49716160 is an abundant number, since it is smaller than the sum of its proper divisors (96222080).

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

49716160 is a wasteful number, since it uses less digits than its factorization.

49716160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 49716160 is about 7050.9687277707. The cubic root of 49716160 is about 367.7047095563.

The spelling of 49716160 in words is "forty-nine million, seven hundred sixteen thousand, one hundred sixty".