61086208 has 40 divisors (see below), whose sum is σ = 122821380. Its totient is φ = 30351360.

The previous prime is 61086203. The next prime is 61086211. The reversal of 61086208 is 80268016.

It can be written as a sum of positive squares in 2 ways, for example, as 59721984 + 1364224 = 7728^2 + 1168^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 61086208.

It is not an unprimeable number, because it can be changed into a prime (61086203) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 116988 + ... + 117508.

Almost surely, 2^61086208 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 61086208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61410690).

61086208 is an abundant number, since it is smaller than the sum of its proper divisors (61735172).

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

61086208 is an equidigital number, since it uses as much as digits as its factorization.

61086208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 61086208 is about 7815.7666290646. The cubic root of 61086208 is about 393.8350723044.

The spelling of 61086208 in words is "sixty-one million, eighty-six thousand, two hundred eight".