61530560 has 112 divisors (see below), whose sum is σ = 180417216. Its totient is φ = 19464192.

The previous prime is 61530559. The next prime is 61530563. The reversal of 61530560 is 6503516.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61530563) 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, 28064 + ... + 30176.

It is an arithmetic number, because the mean of its divisors is an integer number (1610868).

Almost surely, 2^61530560 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 61530560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90208608).

61530560 is an abundant number, since it is smaller than the sum of its proper divisors (118886656).

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

61530560 is a wasteful number, since it uses less digits than its factorization.

61530560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2150 (or 2140 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 26.

The square root of 61530560 is about 7844.1417631249. The cubic root of 61530560 is about 394.7877083893.

The spelling of 61530560 in words is "sixty-one million, five hundred thirty thousand, five hundred sixty".