61985980 has 72 divisors (see below), whose sum is σ = 159440400. Its totient is φ = 20127744.

The previous prime is 61985969. The next prime is 61985981. The reversal of 61985980 is 8958916.

It is a self number, because there is not a number n which added to its sum of digits gives 61985980.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61985981) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16956 + ... + 20284.

It is an arithmetic number, because the mean of its divisors is an integer number (2214450).

Almost surely, 2^61985980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61985980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79720200).

61985980 is an abundant number, since it is smaller than the sum of its proper divisors (97454420).

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

61985980 is a wasteful number, since it uses less digits than its factorization.

61985980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3371 (or 3362 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 46.

The square root of 61985980 is about 7873.1175527868. The cubic root of 61985980 is about 395.7593255791.

The spelling of 61985980 in words is "sixty-one million, nine hundred eighty-five thousand, nine hundred eighty".