62120160 has 144 divisors (see below), whose sum is σ = 214053840. Its totient is φ = 16404480.

The previous prime is 62120141. The next prime is 62120161. The reversal of 62120160 is 6102126.

It is a happy number.

62120160 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 (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (62120161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 257640 + ... + 257880.

It is an arithmetic number, because the mean of its divisors is an integer number (1486485).

Almost surely, 2^62120160 is an apocalyptic number.

62120160 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 62120160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107026920).

62120160 is an abundant number, since it is smaller than the sum of its proper divisors (151933680).

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

62120160 is a wasteful number, since it uses less digits than its factorization.

62120160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 62120160 is about 7881.6343482808. The cubic root of 62120160 is about 396.0446842751.

Adding to 62120160 its reverse (6102126), we get a palindrome (68222286).

The spelling of 62120160 in words is "sixty-two million, one hundred twenty thousand, one hundred sixty".