61361792 has 64 divisors (see below), whose sum is σ = 134395200. Its totient is φ = 27777024.

The previous prime is 61361779. The next prime is 61361801. The reversal of 61361792 is 29716316.

It is a tau number, because it is divible by the number of its divisors (64).

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, 55388 + ... + 56484.

It is an arithmetic number, because the mean of its divisors is an integer number (2099925).

Almost surely, 2^61361792 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 61361792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67197600).

61361792 is an abundant number, since it is smaller than the sum of its proper divisors (73033408).

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

61361792 is a wasteful number, since it uses less digits than its factorization.

61361792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1141 counting only the distinct ones).

The product of its digits is 13608, while the sum is 35.

The square root of 61361792 is about 7833.3767942057. The cubic root of 61361792 is about 394.4264324043.

The spelling of 61361792 in words is "sixty-one million, three hundred sixty-one thousand, seven hundred ninety-two".