61146560 has 112 divisors (see below), whose sum is σ = 156362400. Its totient is φ = 22708224.

The previous prime is 61146557. The next prime is 61146571. The reversal of 61146560 is 6564116.

It is a congruent number.

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, 541064 + ... + 541176.

Almost surely, 2^61146560 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 61146560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78181200).

61146560 is an abundant number, since it is smaller than the sum of its proper divisors (95215840).

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

61146560 is a wasteful number, since it uses less digits than its factorization.

61146560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 61146560 is about 7819.6265895502. The cubic root of 61146560 is about 393.9647301092.

The spelling of 61146560 in words is "sixty-one million, one hundred forty-six thousand, five hundred sixty".