61117344 has 72 divisors (see below), whose sum is σ = 175184100. Its totient is φ = 20210688.

The previous prime is 61117313. The next prime is 61117349. The reversal of 61117344 is 44371116.

It is a happy number.

61117344 is a `hidden beast` number, since 611 + 1 + 7 + 3 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 61027344 + 90000 = 7812^2 + 300^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×61117344² = 7470659475228672, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61117349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38682 + ... + 40230.

Almost surely, 2^61117344 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 61117344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87592050).

61117344 is an abundant number, since it is smaller than the sum of its proper divisors (114066756).

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

61117344 is a wasteful number, since it uses less digits than its factorization.

61117344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702 (or 1691 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 61117344 is about 7817.7582464540. The cubic root of 61117344 is about 393.9019742909.

It can be divided in two parts, 611 and 17344, that added together give a triangular number (17955 = T₁₈₉).

The spelling of 61117344 in words is "sixty-one million, one hundred seventeen thousand, three hundred forty-four".