61282980 has 240 divisors, whose sum is σ = 221981760. Its totient is φ = 13996800.

The previous prime is 61282973. The next prime is 61282993. The reversal of 61282980 is 8928216.

61282980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 338490 + ... + 338670.

It is an arithmetic number, because the mean of its divisors is an integer number (924924).

Almost surely, 2^61282980 is an apocalyptic number.

61282980 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 61282980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110990880).

61282980 is an abundant number, since it is smaller than the sum of its proper divisors (160698780).

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

61282980 is a wasteful number, since it uses less digits than its factorization.

61282980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 61282980 is about 7828.3446526070. The cubic root of 61282980 is about 394.2574952799.

The spelling of 61282980 in words is "sixty-one million, two hundred eighty-two thousand, nine hundred eighty".