61084960 has 48 divisors (see below), whose sum is σ = 147401856. Its totient is φ = 23911168.

The previous prime is 61084951. The next prime is 61084967. The reversal of 61084960 is 6948016.

It is not an unprimeable number, because it can be changed into a prime (61084967) 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, 3459 + ... + 11581.

It is an arithmetic number, because the mean of its divisors is an integer number (3070872).

Almost surely, 2^61084960 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 61084960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73700928).

61084960 is an abundant number, since it is smaller than the sum of its proper divisors (86316896).

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

61084960 is a wasteful number, since it uses less digits than its factorization.

61084960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8185 (or 8177 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 61084960 is about 7815.6867900396. The cubic root of 61084960 is about 393.8323902504.

The spelling of 61084960 in words is "sixty-one million, eighty-four thousand, nine hundred sixty".