49820 has 24 divisors (see below), whose sum is σ = 108864. Its totient is φ = 19136.

The previous prime is 49811. The next prime is 49823. The reversal of 49820 is 2894.

It is a nialpdrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 49820.

It is not an unprimeable number, because it can be changed into a prime (49823) by changing a digit.

49820 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 914 + ... + 966.

It is an arithmetic number, because the mean of its divisors is an integer number (4536).

2⁴⁹⁸²⁰ is an apocalyptic number.

It is an amenable number.

49820 is an abundant number, since it is smaller than the sum of its proper divisors (59044).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54432).

49820 is a wasteful number, since it uses less digits than its factorization.

49820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 49820 is about 223.2039426175. The cubic root of 49820 is about 36.7960534520.

The spelling of 49820 in words is "forty-nine thousand, eight hundred twenty".