61511680 has 48 divisors (see below), whose sum is σ = 147616560. Its totient is φ = 24600576.

The previous prime is 61511647. The next prime is 61511687. The reversal of 61511680 is 8611516.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61511687) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7237 + ... + 13243.

It is an arithmetic number, because the mean of its divisors is an integer number (3075345).

Almost surely, 2^61511680 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 61511680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73808280).

61511680 is an abundant number, since it is smaller than the sum of its proper divisors (86104880).

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

61511680 is an equidigital number, since it uses as much as digits as its factorization.

61511680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6034 (or 6014 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

The square root of 61511680 is about 7842.9382249257. The cubic root of 61511680 is about 394.7473254510.

The spelling of 61511680 in words is "sixty-one million, five hundred eleven thousand, six hundred eighty".