61764560 has 80 divisors (see below), whose sum is σ = 168739200. Its totient is φ = 20728320.

The previous prime is 61764559. The next prime is 61764569. The reversal of 61764560 is 6546716.

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

It is a self number, because there is not a number n which added to its sum of digits gives 61764560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61764569) 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, 8741 + ... + 14139.

It is an arithmetic number, because the mean of its divisors is an integer number (2109240).

Almost surely, 2^61764560 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 61764560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84369600).

61764560 is an abundant number, since it is smaller than the sum of its proper divisors (106974640).

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

61764560 is a wasteful number, since it uses less digits than its factorization.

61764560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5436 (or 5430 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 61764560 is about 7859.0431987615. The cubic root of 61764560 is about 395.2875329938.

The spelling of 61764560 in words is "sixty-one million, seven hundred sixty-four thousand, five hundred sixty".