61688484 has 144 divisors (see below), whose sum is σ = 191528064. Its totient is φ = 16473600.

The previous prime is 61688479. The next prime is 61688489. The reversal of 61688484 is 48488616.

61688484 is a `hidden beast` number, since 6 + 168 + 8 + 484 = 666.

61688484 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 (61688479) and next prime (61688489).

It is not an unprimeable number, because it can be changed into a prime (61688489) 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 47 ways as a sum of consecutive naturals, for example, 118144 + ... + 118664.

It is an arithmetic number, because the mean of its divisors is an integer number (1330056).

Almost surely, 2^61688484 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 61688484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95764032).

61688484 is an abundant number, since it is smaller than the sum of its proper divisors (129839580).

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

61688484 is a wasteful number, since it uses less digits than its factorization.

61688484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 573 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 61688484 is about 7854.2016780829. The cubic root of 61688484 is about 395.1251731690.

The spelling of 61688484 in words is "sixty-one million, six hundred eighty-eight thousand, four hundred eighty-four".