61764144 has 40 divisors (see below), whose sum is σ = 171832752. Its totient is φ = 19004160.

The previous prime is 61764139. The next prime is 61764149. The reversal of 61764144 is 44146716.

61764144 is nontrivially palindromic in base 14.

61764144 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 (61764139) and next prime (61764149).

It is not an unprimeable number, because it can be changed into a prime (61764149) 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, 48867 + ... + 50114.

Almost surely, 2^61764144 is an apocalyptic number.

It is an amenable number.

61764144 is an abundant number, since it is smaller than the sum of its proper divisors (110068608).

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

61764144 is a wasteful number, since it uses less digits than its factorization.

61764144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99005 (or 98999 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 61764144 is about 7859.0167323909. The cubic root of 61764144 is about 395.2866455379.

The spelling of 61764144 in words is "sixty-one million, seven hundred sixty-four thousand, one hundred forty-four".