61127040 has 256 divisors, whose sum is σ = 219340800. Its totient is φ = 14376960.

The previous prime is 61127039. The next prime is 61127051. The reversal of 61127040 is 4072116.

It is a junction number, because it is equal to n+sod(n) for n = 61126998 and 61127016.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 773721 + ... + 773799.

It is an arithmetic number, because the mean of its divisors is an integer number (856800).

Almost surely, 2^61127040 is an apocalyptic number.

61127040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61127040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109670400).

61127040 is an abundant number, since it is smaller than the sum of its proper divisors (158213760).

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

61127040 is a wasteful number, since it uses less digits than its factorization.

61127040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 61127040 is about 7818.3783484812. The cubic root of 61127040 is about 393.9228034660.

Adding to 61127040 its reverse (4072116), we get a palindrome (65199156).

The spelling of 61127040 in words is "sixty-one million, one hundred twenty-seven thousand, forty".