61305760 has 36 divisors (see below), whose sum is σ = 145069218. Its totient is φ = 24482688.

The previous prime is 61305749. The next prime is 61305763. The reversal of 61305760 is 6750316.

It can be written as a sum of positive squares in only one way, i.e., 55175184 + 6130576 = 7428^2 + 2476^2 .

It is not an unprimeable number, because it can be changed into a prime (61305763) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 98731 + ... + 99349.

Almost surely, 2^61305760 is an apocalyptic number.

It is an amenable number.

61305760 is an abundant number, since it is smaller than the sum of its proper divisors (83763458).

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

61305760 is an frugal number, since it uses more digits than its factorization.

61305760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 61305760 is about 7829.7994865769. The cubic root of 61305760 is about 394.3063401258.

The spelling of 61305760 in words is "sixty-one million, three hundred five thousand, seven hundred sixty".