61780968 has 80 divisors (see below), whose sum is σ = 175750080. Its totient is φ = 20272032.

The previous prime is 61780963. The next prime is 61781003. The reversal of 61780968 is 86908716.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (61780963) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 42705 + ... + 44127.

It is an arithmetic number, because the mean of its divisors is an integer number (2196876).

Almost surely, 2^61780968 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 61780968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87875040).

61780968 is an abundant number, since it is smaller than the sum of its proper divisors (113969112).

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

61780968 is a wasteful number, since it uses less digits than its factorization.

61780968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1508 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 61780968 is about 7860.0870224190. The cubic root of 61780968 is about 395.3225331276.

The spelling of 61780968 in words is "sixty-one million, seven hundred eighty thousand, nine hundred sixty-eight".