61727360 has 64 divisors (see below), whose sum is σ = 151066080. Its totient is φ = 24105984.

The previous prime is 61727353. The next prime is 61727363. The reversal of 61727360 is 6372716.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×61727360³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (61727363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26399 + ... + 28641.

Almost surely, 2^61727360 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 61727360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75533040).

61727360 is an abundant number, since it is smaller than the sum of its proper divisors (89338720).

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

61727360 is a wasteful number, since it uses less digits than its factorization.

61727360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2305 (or 2293 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 32.

The square root of 61727360 is about 7856.6761419827. The cubic root of 61727360 is about 395.2081581907.

The spelling of 61727360 in words is "sixty-one million, seven hundred twenty-seven thousand, three hundred sixty".