61298112 has 112 divisors (see below), whose sum is σ = 170992800. Its totient is φ = 19353600.

The previous prime is 61298089. The next prime is 61298117. The reversal of 61298112 is 21189216.

It is a happy number.

61298112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 61298112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61298117) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 562314 + ... + 562422.

Almost surely, 2^61298112 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 61298112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85496400).

61298112 is an abundant number, since it is smaller than the sum of its proper divisors (109694688).

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

61298112 is a wasteful number, since it uses less digits than its factorization.

61298112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 244 counting only the distinct ones).

The product of its digits is 1728, while the sum is 30.

The square root of 61298112 is about 7829.3110808040. The cubic root of 61298112 is about 394.2899426438.

It can be divided in two parts, 6129 and 8112, that added together give a palindrome (14241).

The spelling of 61298112 in words is "sixty-one million, two hundred ninety-eight thousand, one hundred twelve".