61305808 has 40 divisors (see below), whose sum is σ = 126400392. Its totient is φ = 28704768.

The previous prime is 61305763. The next prime is 61305841. The reversal of 61305808 is 80850316.

It can be written as a sum of positive squares in 4 ways, for example, as 46621584 + 14684224 = 6828^2 + 3832^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 61305808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69466 + ... + 70342.

Almost surely, 2^61305808 is an apocalyptic number.

61305808 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61305808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63200196).

61305808 is an abundant number, since it is smaller than the sum of its proper divisors (65094584).

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

61305808 is a wasteful number, since it uses less digits than its factorization.

61305808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 61305808 is about 7829.8025517889. The cubic root of 61305808 is about 394.3064430346.

The spelling of 61305808 in words is "sixty-one million, three hundred five thousand, eight hundred eight".