61429160 has 64 divisors (see below), whose sum is σ = 157626000. Its totient is φ = 21344256.

The previous prime is 61429153. The next prime is 61429169. The reversal of 61429160 is 6192416.

61429160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 36409156 + 25020004 = 6034^2 + 5002^2 .

It is not an unprimeable number, because it can be changed into a prime (61429169) 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, 5366 + ... + 12314.

Almost surely, 2^61429160 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 61429160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78813000).

61429160 is an abundant number, since it is smaller than the sum of its proper divisors (96196840).

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

61429160 is a wasteful number, since it uses less digits than its factorization.

61429160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6990 (or 6986 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 61429160 is about 7837.6756758621. The cubic root of 61429160 is about 394.5707241574.

The spelling of 61429160 in words is "sixty-one million, four hundred twenty-nine thousand, one hundred sixty".