61763984 has 40 divisors (see below), whose sum is σ = 126971040. Its totient is φ = 29023488.

The previous prime is 61763981. The next prime is 61763987. The reversal of 61763984 is 48936716.

61763984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (61763981) and next prime (61763987).

It is not an unprimeable number, because it can be changed into a prime (61763981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40907 + ... + 42389.

It is an arithmetic number, because the mean of its divisors is an integer number (3174276).

Almost surely, 2^61763984 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 61763984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63485520).

61763984 is an abundant number, since it is smaller than the sum of its proper divisors (65207056).

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

61763984 is a wasteful number, since it uses less digits than its factorization.

61763984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647 (or 1641 counting only the distinct ones).

The product of its digits is 217728, while the sum is 44.

The square root of 61763984 is about 7859.0065529938. The cubic root of 61763984 is about 395.2863042076.

The spelling of 61763984 in words is "sixty-one million, seven hundred sixty-three thousand, nine hundred eighty-four".