61112040 has 128 divisors (see below), whose sum is σ = 203281920. Its totient is φ = 14572800.

The previous prime is 61112011. The next prime is 61112047. The reversal of 61112040 is 4021116.

61112040 is a nontrivial binomial coefficient, being equal to C(11056, 2).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (61112047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88095 + ... + 88785.

It is an arithmetic number, because the mean of its divisors is an integer number (1588140).

Almost surely, 2^61112040 is an apocalyptic number.

61112040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

61112040 is the 11055-th triangular number and also the 5528-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61112040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101640960).

61112040 is an abundant number, since it is smaller than the sum of its proper divisors (142169880).

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

61112040 is a wasteful number, since it uses less digits than its factorization.

61112040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 61112040 is about 7817.4190114129. The cubic root of 61112040 is about 393.8905791812.

Adding to 61112040 its reverse (4021116), we get a palindrome (65133156).

It can be divided in two parts, 61 and 112040, that added together give a triangular number (112101 = T₄₇₃).

The spelling of 61112040 in words is "sixty-one million, one hundred twelve thousand, forty".