49820160 has 160 divisors (see below), whose sum is σ = 171864000. Its totient is φ = 12238848.

The previous prime is 49820143. The next prime is 49820179. The reversal of 49820160 is 6102894.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99591 + ... + 100089.

It is an arithmetic number, because the mean of its divisors is an integer number (1074150).

Almost surely, 2^49820160 is an apocalyptic number.

49820160 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 49820160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85932000).

49820160 is an abundant number, since it is smaller than the sum of its proper divisors (122043840).

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

49820160 is a wasteful number, since it uses less digits than its factorization.

49820160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 49820160 is about 7058.3397481277. The cubic root of 49820160 is about 367.9609284290.

The spelling of 49820160 in words is "forty-nine million, eight hundred twenty thousand, one hundred sixty".