61083648 has 78 divisors (see below), whose sum is σ = 176548814. Its totient is φ = 20348928.

The previous prime is 61083641. The next prime is 61083661. The reversal of 61083648 is 84638016.

It is a happy number.

61083648 is a `hidden beast` number, since 6 + 1 + 0 + 8 + 3 + 648 = 666.

It can be written as a sum of positive squares in only one way, i.e., 47775744 + 13307904 = 6912^2 + 3648^2 .

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

It is not an unprimeable number, because it can be changed into a prime (61083641) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36036 + ... + 37692.

Almost surely, 2^61083648 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 61083648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88274407).

61083648 is an abundant number, since it is smaller than the sum of its proper divisors (115465166).

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

61083648 is a wasteful number, since it uses less digits than its factorization.

61083648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1687 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 61083648 is about 7815.6028558263. The cubic root of 61083648 is about 393.8295706159.

The spelling of 61083648 in words is "sixty-one million, eighty-three thousand, six hundred forty-eight".