61560720 has 120 divisors (see below), whose sum is σ = 222678456. Its totient is φ = 15151104.

The previous prime is 61560713. The next prime is 61560769. The reversal of 61560720 is 2706516.

It can be written as a sum of positive squares in 4 ways, for example, as 12616704 + 48944016 = 3552^2 + 6996^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6072 + ... + 12648.

Almost surely, 2^61560720 is an apocalyptic number.

61560720 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61560720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111339228).

61560720 is an abundant number, since it is smaller than the sum of its proper divisors (161117736).

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

61560720 is a wasteful number, since it uses less digits than its factorization.

61560720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6609 (or 6600 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 61560720 is about 7846.0639813858. The cubic root of 61560720 is about 394.8522012873.

The spelling of 61560720 in words is "sixty-one million, five hundred sixty thousand, seven hundred twenty".