49860 has 36 divisors (see below), whose sum is σ = 151788. Its totient is φ = 13248.

The previous prime is 49853. The next prime is 49871. The reversal of 49860 is 6894.

It can be written as a sum of positive squares in 2 ways, for example, as 12996 + 36864 = 114^2 + 192^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an Ulam number.

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42 + ... + 318.

2⁴⁹⁸⁶⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75894).

49860 is an abundant number, since it is smaller than the sum of its proper divisors (101928).

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

49860 is a wasteful number, since it uses less digits than its factorization.

49860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 49860 is about 223.2935287911. The cubic root of 49860 is about 36.8058985504.

It can be divided in two parts, 49 and 860, that added together give a palindrome (909).

The spelling of 49860 in words is "forty-nine thousand, eight hundred sixty".