61361136 has 60 divisors (see below), whose sum is σ = 173467320. Its totient is φ = 20246400.

The previous prime is 61361119. The next prime is 61361137. The reversal of 61361136 is 63116316.

It is a happy number.

61361136 is a `hidden beast` number, since 6 + 13 + 611 + 36 = 666.

61361136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×61361136² = 7530378022420992, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61361137) 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 11 ways as a sum of consecutive naturals, for example, 12435 + ... + 16653.

It is an arithmetic number, because the mean of its divisors is an integer number (2891122).

Almost surely, 2^61361136 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 61361136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86733660).

61361136 is an abundant number, since it is smaller than the sum of its proper divisors (112106184).

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

61361136 is a wasteful number, since it uses less digits than its factorization.

61361136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4334 (or 4325 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 61361136 is about 7833.3349219857. The cubic root of 61361136 is about 394.4250268355.

The spelling of 61361136 in words is "sixty-one million, three hundred sixty-one thousand, one hundred thirty-six".