61575760 has 40 divisors (see below), whose sum is σ = 144990720. Its totient is φ = 24316032.

The previous prime is 61575737. The next prime is 61575803. The reversal of 61575760 is 6757516.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1449 + ... + 11191.

It is an arithmetic number, because the mean of its divisors is an integer number (3624768).

Almost surely, 2^61575760 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 61575760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72495360).

61575760 is an abundant number, since it is smaller than the sum of its proper divisors (83414960).

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

61575760 is a wasteful number, since it uses less digits than its factorization.

61575760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9835 (or 9829 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 37.

The square root of 61575760 is about 7847.0223652032. The cubic root of 61575760 is about 394.8843543309.

The spelling of 61575760 in words is "sixty-one million, five hundred seventy-five thousand, seven hundred sixty".