62006080 has 56 divisors (see below), whose sum is σ = 151671528. Its totient is φ = 24127488.

The previous prime is 62006059. The next prime is 62006083. The reversal of 62006080 is 8060026.

It can be written as a sum of positive squares in 4 ways, for example, as 28643904 + 33362176 = 5352^2 + 5776^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (62006083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9222 + ... + 14458.

Almost surely, 2^62006080 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 62006080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75835764).

62006080 is an abundant number, since it is smaller than the sum of its proper divisors (89665448).

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

62006080 is a wasteful number, since it uses less digits than its factorization.

62006080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5291 (or 5281 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 62006080 is about 7874.3939449332. The cubic root of 62006080 is about 395.8020981693.

The spelling of 62006080 in words is "sixty-two million, six thousand, eighty".