61831980 has 144 divisors (see below), whose sum is σ = 221405184. Its totient is φ = 13668480.

The previous prime is 61831963. The next prime is 61831999. The reversal of 61831980 is 8913816.

61831980 is a `hidden beast` number, since 618 + 31 + 9 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38269 + ... + 39851.

It is an arithmetic number, because the mean of its divisors is an integer number (1537536).

Almost surely, 2^61831980 is an apocalyptic number.

61831980 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 61831980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110702592).

61831980 is an abundant number, since it is smaller than the sum of its proper divisors (159573204).

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

61831980 is a wasteful number, since it uses less digits than its factorization.

61831980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 61831980 is about 7863.3313550937. The cubic root of 61831980 is about 395.4313079705.

The spelling of 61831980 in words is "sixty-one million, eight hundred thirty-one thousand, nine hundred eighty".