62080 has 32 divisors (see below), whose sum is σ = 149940. Its totient is φ = 24576.

The previous prime is 62071. The next prime is 62081. The reversal of 62080 is 8026.

It can be written as a sum of positive squares in 2 ways, for example, as 61504 + 576 = 248^2 + 24^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (62081) by changing a digit.

62080 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 3 ways as a sum of consecutive naturals, for example, 592 + ... + 688.

2⁶²⁰⁸⁰ 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 62080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74970).

62080 is an abundant number, since it is smaller than the sum of its proper divisors (87860).

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

62080 is an equidigital number, since it uses as much as digits as its factorization.

62080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 62080 is about 249.1585840384. The cubic root of 62080 is about 39.5959319700.

The spelling of 62080 in words is "sixty-two thousand, eighty".