62061600 has 144 divisors (see below), whose sum is σ = 212798880. Its totient is φ = 15667200.

The previous prime is 62061563. The next prime is 62061661. The reversal of 62061600 is 616026.

62061600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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, 44920 + ... + 46280.

It is an arithmetic number, because the mean of its divisors is an integer number (1477770).

Almost surely, 2^62061600 is an apocalyptic number.

62061600 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 62061600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106399440).

62061600 is an abundant number, since it is smaller than the sum of its proper divisors (150737280).

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

62061600 is a wasteful number, since it uses less digits than its factorization.

62061600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 62061600 is about 7877.9185068138. The cubic root of 62061600 is about 395.9201961419.

Adding to 62061600 its reverse (616026), we get a palindrome (62677626).

The spelling of 62061600 in words is "sixty-two million, sixty-one thousand, six hundred".