61141584 has 80 divisors (see below), whose sum is σ = 181432832. Its totient is φ = 17380224.

The previous prime is 61141559. The next prime is 61141627. The reversal of 61141584 is 48514116.

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, 94767 + ... + 95409.

Almost surely, 2^61141584 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 61141584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90716416).

61141584 is an abundant number, since it is smaller than the sum of its proper divisors (120291248).

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

61141584 is a wasteful number, since it uses less digits than its factorization.

61141584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 938 counting only the distinct ones).

The product of its digits is 3840, while the sum is 30.

The square root of 61141584 is about 7819.3084093160. The cubic root of 61141584 is about 393.9540430993.

It can be divided in two parts, 611 and 41584, that added together give a triangular number (42195 = T₂₉₀).

The spelling of 61141584 in words is "sixty-one million, one hundred forty-one thousand, five hundred eighty-four".