61985800 has 24 divisors (see below), whose sum is σ = 144117450. Its totient is φ = 24794240.

The previous prime is 61985783. The next prime is 61985801. The reversal of 61985800 is 858916.

It can be written as a sum of positive squares in 3 ways, for example, as 32239684 + 29746116 = 5678^2 + 5454^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 61985800.

It is not an unprimeable number, because it can be changed into a prime (61985801) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 154765 + ... + 155164.

Almost surely, 2^61985800 is an apocalyptic number.

It is an amenable number.

61985800 is an abundant number, since it is smaller than the sum of its proper divisors (82131650).

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

61985800 is a wasteful number, since it uses less digits than its factorization.

61985800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309945 (or 309936 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 37.

The square root of 61985800 is about 7873.1061214745. The cubic root of 61985800 is about 395.7589424992.

The spelling of 61985800 in words is "sixty-one million, nine hundred eighty-five thousand, eight hundred".