61864144 has 20 divisors (see below), whose sum is σ = 122124996. Its totient is φ = 30348032.

The previous prime is 61864109. The next prime is 61864147. The reversal of 61864144 is 44146816.

It can be written as a sum of positive squares in 2 ways, for example, as 37063744 + 24800400 = 6088^2 + 4980^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61864147) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 35629 + ... + 37324.

Almost surely, 2^61864144 is an apocalyptic number.

It is an amenable number.

61864144 is a deficient number, since it is larger than the sum of its proper divisors (60260852).

61864144 is a wasteful number, since it uses less digits than its factorization.

61864144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73014 (or 73008 counting only the distinct ones).

The product of its digits is 18432, while the sum is 34.

The square root of 61864144 is about 7865.3762783480. The cubic root of 61864144 is about 395.4998617506.

The spelling of 61864144 in words is "sixty-one million, eight hundred sixty-four thousand, one hundred forty-four".