61985360 has 80 divisors (see below), whose sum is σ = 151764096. Its totient is φ = 23514624.

The previous prime is 61985347. The next prime is 61985369. The reversal of 61985360 is 6358916.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61985369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127037 + ... + 127523.

Almost surely, 2^61985360 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 61985360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75882048).

61985360 is an abundant number, since it is smaller than the sum of its proper divisors (89778736).

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

61985360 is a wasteful number, since it uses less digits than its factorization.

61985360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 61985360 is about 7873.0781781969. The cubic root of 61985360 is about 395.7580060785.

The spelling of 61985360 in words is "sixty-one million, nine hundred eighty-five thousand, three hundred sixty".