61888816 has 40 divisors (see below), whose sum is σ = 132629904. Its totient is φ = 27740160.

The previous prime is 61888807. The next prime is 61888829.

61888816 is nontrivially palindromic in base 10.

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 7 ways as a sum of consecutive naturals, for example, 10440 + ... + 15256.

Almost surely, 2^61888816 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 61888816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66314952).

61888816 is an abundant number, since it is smaller than the sum of its proper divisors (70741088).

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

61888816 is a wasteful number, since it uses less digits than its factorization.

61888816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4909 (or 4903 counting only the distinct ones).

The product of its digits is 147456, while the sum is 46.

The square root of 61888816 is about 7866.9445148673. The cubic root of 61888816 is about 395.5524311124.

The spelling of 61888816 in words is "sixty-one million, eight hundred eighty-eight thousand, eight hundred sixteen".