61285896 has 160 divisors (see below), whose sum is σ = 200376000. Its totient is φ = 17138304.

The previous prime is 61285883. The next prime is 61285897. The reversal of 61285896 is 69858216.

61285896 is a `hidden beast` number, since 61 + 2 + 8 + 589 + 6 = 666.

It is a super-2 number, since 2×61285896² = 7511922097045632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61285897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 267510 + ... + 267738.

It is an arithmetic number, because the mean of its divisors is an integer number (1252350).

Almost surely, 2^61285896 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 61285896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100188000).

61285896 is an abundant number, since it is smaller than the sum of its proper divisors (139090104).

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

61285896 is a wasteful number, since it uses less digits than its factorization.

61285896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 300 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 61285896 is about 7828.5308966625. The cubic root of 61285896 is about 394.2637484387.

The spelling of 61285896 in words is "sixty-one million, two hundred eighty-five thousand, eight hundred ninety-six".