61328144 has 10 divisors (see below), whose sum is σ = 118823310. Its totient is φ = 30664064.

The previous prime is 61328131. The next prime is 61328147. The reversal of 61328144 is 44182316.

61328144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 57942544 + 3385600 = 7612^2 + 1840^2 .

It is a super-2 number, since 2×61328144² = 7522282492969472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61328147) 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 as a sum of consecutive naturals, namely, 1916489 + ... + 1916520.

It is an arithmetic number, because the mean of its divisors is an integer number (11882331).

Almost surely, 2^61328144 is an apocalyptic number.

It is an amenable number.

61328144 is a deficient number, since it is larger than the sum of its proper divisors (57495166).

61328144 is a wasteful number, since it uses less digits than its factorization.

61328144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3833017 (or 3833011 counting only the distinct ones).

The product of its digits is 4608, while the sum is 29.

The square root of 61328144 is about 7831.2287669305. The cubic root of 61328144 is about 394.3543240843.

The spelling of 61328144 in words is "sixty-one million, three hundred twenty-eight thousand, one hundred forty-four".