61085760 has 224 divisors, whose sum is σ = 217261440. Its totient is φ = 14450688.

The previous prime is 61085753. The next prime is 61085767. The reversal of 61085760 is 6758016.

Added to its reverse (6758016) it gives a triangular number (67843776 = T₁₁₆₄₈).

It is an interprime number because it is at equal distance from previous prime (61085753) and next prime (61085767).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61085767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 309982 + ... + 310178.

Almost surely, 2^61085760 is an apocalyptic number.

61085760 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 61085760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108630720).

61085760 is an abundant number, since it is smaller than the sum of its proper divisors (156175680).

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

61085760 is a wasteful number, since it uses less digits than its factorization.

61085760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 61085760 is about 7815.7379689956. The cubic root of 61085760 is about 393.8341095200.

Adding to 61085760 its reverse (6758016), we get a triangular number (67843776 = T₁₁₆₄₈).

The spelling of 61085760 in words is "sixty-one million, eighty-five thousand, seven hundred sixty".