48690 has 24 divisors (see below), whose sum is σ = 126828. Its totient is φ = 12960.

The previous prime is 48679. The next prime is 48731. The reversal of 48690 is 9684.

It can be written as a sum of positive squares in 2 ways, for example, as 47961 + 729 = 219^2 + 27^2 .

It is a super-2 number, since 2×48690² = 4741432200, which contains 22 as substring.

It is a Curzon number.

It is a nialpdrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 48690.

It is an unprimeable number.

48690 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 181 + ... + 360.

2⁴⁸⁶⁹⁰ is an apocalyptic number.

48690 is an abundant number, since it is smaller than the sum of its proper divisors (78138).

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 (63414).

48690 is a wasteful number, since it uses less digits than its factorization.

48690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 551 counting only the distinct ones).

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

The square root of 48690 is about 220.6581065812. The cubic root of 48690 is about 36.5157247564.

It can be divided in two parts, 486 and 90, that added together give a square (576 = 24²).

The spelling of 48690 in words is "forty-eight thousand, six hundred ninety".