61461126 has 64 divisors (see below), whose sum is σ = 141004800. Its totient is φ = 19836000.

The previous prime is 61461119. The next prime is 61461151. The reversal of 61461126 is 62116416.

61461126 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 (27).

It is a self number, because there is not a number n which added to its sum of digits gives 61461126.

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 31 ways as a sum of consecutive naturals, for example, 321691 + ... + 321881.

It is an arithmetic number, because the mean of its divisors is an integer number (2203200).

Almost surely, 2^61461126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61461126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70502400).

61461126 is an abundant number, since it is smaller than the sum of its proper divisors (79543674).

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

61461126 is a wasteful number, since it uses less digits than its factorization.

61461126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 356 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 61461126 is about 7839.7146631749. The cubic root of 61461126 is about 394.6391534430.

The spelling of 61461126 in words is "sixty-one million, four hundred sixty-one thousand, one hundred twenty-six".