62160 has 80 divisors (see below), whose sum is σ = 226176. Its totient is φ = 13824.

The previous prime is 62143. The next prime is 62171. The reversal of 62160 is 6126.

62160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

62160 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 15 ways as a sum of consecutive naturals, for example, 1662 + ... + 1698.

2⁶²¹⁶⁰ is an apocalyptic number.

62160 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 62160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113088).

62160 is an abundant number, since it is smaller than the sum of its proper divisors (164016).

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

62160 is a wasteful number, since it uses less digits than its factorization.

62160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 62160 is about 249.3190726760. The cubic root of 62160 is about 39.6129332310.

Adding to 62160 its reverse (6126), we get a palindrome (68286).

It can be divided in two parts, 62 and 160, that added together give a palindrome (222).

The spelling of 62160 in words is "sixty-two thousand, one hundred sixty".