61152160 has 48 divisors (see below), whose sum is σ = 145189800. Its totient is φ = 24339456.

The previous prime is 61152139. The next prime is 61152199. The reversal of 61152160 is 6125116.

It can be written as a sum of positive squares in 4 ways, for example, as 59043856 + 2108304 = 7684^2 + 1452^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35806 + ... + 37474.

Almost surely, 2^61152160 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 61152160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72594900).

61152160 is an abundant number, since it is smaller than the sum of its proper divisors (84037640).

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

61152160 is a wasteful number, since it uses less digits than its factorization.

61152160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1913 (or 1905 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 61152160 is about 7819.9846547164. The cubic root of 61152160 is about 393.9767565973.

Adding to 61152160 its reverse (6125116), we get a palindrome (67277276).

The spelling of 61152160 in words is "sixty-one million, one hundred fifty-two thousand, one hundred sixty".