61286688 has 36 divisors (see below), whose sum is σ = 174284838. Its totient is φ = 20428800.

The previous prime is 61286623. The next prime is 61286707. The reversal of 61286688 is 88668216.

It can be written as a sum of positive squares in only one way, i.e., 40602384 + 20684304 = 6372^2 + 4548^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 106113 + ... + 106688.

Almost surely, 2^61286688 is an apocalyptic number.

It is an amenable number.

61286688 is an abundant number, since it is smaller than the sum of its proper divisors (112998150).

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

61286688 is a wasteful number, since it uses less digits than its factorization.

61286688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212817 (or 212806 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 61286688 is about 7828.5814807026. The cubic root of 61286688 is about 394.2654467933.

The spelling of 61286688 in words is "sixty-one million, two hundred eighty-six thousand, six hundred eighty-eight".