62560 has 48 divisors (see below), whose sum is σ = 163296. Its totient is φ = 22528.

The previous prime is 62549. The next prime is 62563. The reversal of 62560 is 6526.

62560 = T₄₉ + T₅₀ + ... + T₇₈.

62560 is nontrivially palindromic in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (62563) 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 7 ways as a sum of consecutive naturals, for example, 2709 + ... + 2731.

It is an arithmetic number, because the mean of its divisors is an integer number (3402).

2⁶²⁵⁶⁰ 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 62560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81648).

62560 is an abundant number, since it is smaller than the sum of its proper divisors (100736).

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

62560 is a wasteful number, since it uses less digits than its factorization.

62560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 62560 is about 250.1199712138. The cubic root of 62560 is about 39.6977214460.

The spelling of 62560 in words is "sixty-two thousand, five hundred sixty".