61803648 has 96 divisors (see below), whose sum is σ = 184526160. Its totient is φ = 20590848.

The previous prime is 61803641. The next prime is 61803659. The reversal of 61803648 is 84630816.

It is a happy number.

61803648 is a `hidden beast` number, since 6 + 1 + 8 + 0 + 3 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×61803648² = 7639381812215808, which contains 22 as substring.

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 (61803641) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 30111 + ... + 32097.

Almost surely, 2^61803648 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 61803648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92263080).

61803648 is an abundant number, since it is smaller than the sum of its proper divisors (122722512).

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

61803648 is an equidigital number, since it uses as much as digits as its factorization.

61803648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2016 (or 1992 counting only the distinct ones).

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

The square root of 61803648 is about 7861.5296221537. The cubic root of 61803648 is about 395.3709019507.

The spelling of 61803648 in words is "sixty-one million, eight hundred three thousand, six hundred forty-eight".