61579760 has 160 divisors (see below), whose sum is σ = 171417600. Its totient is φ = 20321280.

The previous prime is 61579757. The next prime is 61579769. The reversal of 61579760 is 6797516.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61579769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 484817 + ... + 484943.

It is an arithmetic number, because the mean of its divisors is an integer number (1071360).

Almost surely, 2^61579760 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 61579760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85708800).

61579760 is an abundant number, since it is smaller than the sum of its proper divisors (109837840).

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

61579760 is a wasteful number, since it uses less digits than its factorization.

61579760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 41.

The square root of 61579760 is about 7847.2772348121. The cubic root of 61579760 is about 394.8929047909.

The spelling of 61579760 in words is "sixty-one million, five hundred seventy-nine thousand, seven hundred sixty".