961744144 has 15 divisors (see below), whose sum is σ = 1863619653. Its totient is φ = 480810048.

The previous prime is 961744123. The next prime is 961744153. The reversal of 961744144 is 441447169.

The square root of 961744144 is 31012.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 957283600 + 4460544 = 30940^2 + 2112^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 961744097 and 961744106.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 120172 + ... + 127924.

Almost surely, 2^961744144 is an apocalyptic number.

961744144 is the 31012-nd square number.

It is an amenable number.

961744144 is a deficient number, since it is larger than the sum of its proper divisors (901875509).

961744144 is an frugal number, since it uses more digits than its factorization.

961744144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15514 (or 7755 counting only the distinct ones).

The product of its digits is 96768, while the sum is 40.

The cubic root of 961744144 is about 987.0818889890.

The spelling of 961744144 in words is "nine hundred sixty-one million, seven hundred forty-four thousand, one hundred forty-four".