62048 has 24 divisors (see below), whose sum is σ = 140112. Its totient is φ = 26496.

The previous prime is 62047. The next prime is 62053. The reversal of 62048 is 84026.

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 62048.

It is not an unprimeable number, because it can be changed into a prime (62047) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 86 + ... + 362.

It is an arithmetic number, because the mean of its divisors is an integer number (5838).

2⁶²⁰⁴⁸ 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 62048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70056).

62048 is an abundant number, since it is smaller than the sum of its proper divisors (78064).

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

62048 is a wasteful number, since it uses less digits than its factorization.

62048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 62048 is about 249.0943596310. The cubic root of 62048 is about 39.5891273759.

The spelling of 62048 in words is "sixty-two thousand, forty-eight".