61982800 has 60 divisors (see below), whose sum is σ = 162462816. Its totient is φ = 22537600.

The previous prime is 61982783. The next prime is 61982813. The reversal of 61982800 is 828916.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2644 + ... + 11443.

Almost surely, 2^61982800 is an apocalyptic number.

It is an amenable number.

61982800 is an abundant number, since it is smaller than the sum of its proper divisors (100480016).

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

61982800 is a wasteful number, since it uses less digits than its factorization.

61982800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14116 (or 14105 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 61982800 is about 7872.9155971597. The cubic root of 61982800 is about 395.7525577251.

It can be divided in two parts, 6198 and 2800, that added together give a palindrome (8998).

The spelling of 61982800 in words is "sixty-one million, nine hundred eighty-two thousand, eight hundred".