61136424 has 64 divisors (see below), whose sum is σ = 170520000. Its totient is φ = 20295360.

The previous prime is 61136419. The next prime is 61136429. The reversal of 61136424 is 42463116.

61136424 is a `hidden beast` number, since 6 + 1 + 13 + 642 + 4 = 666.

61136424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (61136419) and next prime (61136429).

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (61136429) 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 15 ways as a sum of consecutive naturals, for example, 74979 + ... + 75789.

It is an arithmetic number, because the mean of its divisors is an integer number (2664375).

Almost surely, 2^61136424 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 61136424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85260000).

61136424 is an abundant number, since it is smaller than the sum of its proper divisors (109383576).

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

61136424 is a wasteful number, since it uses less digits than its factorization.

61136424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1165 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 61136424 is about 7818.9784499000. The cubic root of 61136424 is about 393.9429602981.

The spelling of 61136424 in words is "sixty-one million, one hundred thirty-six thousand, four hundred twenty-four".