61157160 has 128 divisors (see below), whose sum is σ = 215913600. Its totient is φ = 15344640.

The previous prime is 61157153. The next prime is 61157179. The reversal of 61157160 is 6175116.

61157160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 16695 + ... + 20025.

It is an arithmetic number, because the mean of its divisors is an integer number (1686825).

Almost surely, 2^61157160 is an apocalyptic number.

61157160 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 61157160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107956800).

61157160 is an abundant number, since it is smaller than the sum of its proper divisors (154756440).

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

61157160 is a wasteful number, since it uses less digits than its factorization.

61157160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3368 (or 3358 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 61157160 is about 7820.3043419038. The cubic root of 61157160 is about 393.9874939128.

The spelling of 61157160 in words is "sixty-one million, one hundred fifty-seven thousand, one hundred sixty".