61885980 has 144 divisors (see below), whose sum is σ = 206388000. Its totient is φ = 14916096.

The previous prime is 61885979. The next prime is 61886009. The reversal of 61885980 is 8958816.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123771 + ... + 124269.

It is an arithmetic number, because the mean of its divisors is an integer number (1433250).

Almost surely, 2^61885980 is an apocalyptic number.

61885980 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 61885980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103194000).

61885980 is an abundant number, since it is smaller than the sum of its proper divisors (144502020).

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

61885980 is a wasteful number, since it uses less digits than its factorization.

61885980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 61885980 is about 7866.7642649313. The cubic root of 61885980 is about 395.5463890739.

The spelling of 61885980 in words is "sixty-one million, eight hundred eighty-five thousand, nine hundred eighty".