61520680 has 64 divisors (see below), whose sum is σ = 150086160. Its totient is φ = 22560768.

The previous prime is 61520663. The next prime is 61520707. The reversal of 61520680 is 8602516.

It can be written as a sum of positive squares in 8 ways, for example, as 23716 + 61496964 = 154^2 + 7842^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100054 + ... + 100666.

Almost surely, 2^61520680 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 61520680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75043080).

61520680 is an abundant number, since it is smaller than the sum of its proper divisors (88565480).

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

61520680 is a wasteful number, since it uses less digits than its factorization.

61520680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 61520680 is about 7843.5119684998. The cubic root of 61520680 is about 394.7665768229.

The spelling of 61520680 in words is "sixty-one million, five hundred twenty thousand, six hundred eighty".