61218816 has 112 divisors (see below), whose sum is σ = 169858944. Its totient is φ = 19595264.

The previous prime is 61218803. The next prime is 61218821. The reversal of 61218816 is 61881216.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1155046 + ... + 1155098.

Almost surely, 2^61218816 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 61218816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84929472).

61218816 is an abundant number, since it is smaller than the sum of its proper divisors (108640128).

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

61218816 is an equidigital number, since it uses as much as digits as its factorization.

61218816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 105 counting only the distinct ones).

The product of its digits is 4608, while the sum is 33.

The square root of 61218816 is about 7824.2453949247. The cubic root of 61218816 is about 394.1198498202.

The spelling of 61218816 in words is "sixty-one million, two hundred eighteen thousand, eight hundred sixteen".