61082112 has 320 divisors, whose sum is σ = 219985920. Its totient is φ = 14598144.

The previous prime is 61082111. The next prime is 61082113. The reversal of 61082112 is 21128016.

It is an interprime number because it is at equal distance from previous prime (61082111) and next prime (61082113).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61082111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2655733 + ... + 2655755.

It is an arithmetic number, because the mean of its divisors is an integer number (687456).

Almost surely, 2^61082112 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 61082112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109992960).

61082112 is an abundant number, since it is smaller than the sum of its proper divisors (158903808).

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

61082112 is a wasteful number, since it uses less digits than its factorization.

61082112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 61082112 is about 7815.5045902360. The cubic root of 61082112 is about 393.8262695290.

The spelling of 61082112 in words is "sixty-one million, eighty-two thousand, one hundred twelve".