61046856 has 144 divisors (see below), whose sum is σ = 186275700. Its totient is φ = 18031104.

The previous prime is 61046819. The next prime is 61046857. The reversal of 61046856 is 65864016.

It can be written as a sum of positive squares in 6 ways, for example, as 22184100 + 38862756 = 4710^2 + 6234^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 61046856.

It is not an unprimeable number, because it can be changed into a prime (61046857) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 352786 + ... + 352958.

Almost surely, 2^61046856 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 61046856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93137850).

61046856 is an abundant number, since it is smaller than the sum of its proper divisors (125228844).

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

61046856 is a wasteful number, since it uses less digits than its factorization.

61046856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 61046856 is about 7813.2487481201. The cubic root of 61046856 is about 393.7504840508.

The spelling of 61046856 in words is "sixty-one million, forty-six thousand, eight hundred fifty-six".