961273408 has 42 divisors (see below), whose sum is σ = 1994139014. Its totient is φ = 459723264.

The previous prime is 961273337. The next prime is 961273409. The reversal of 961273408 is 804372169.

961273408 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., 955551744 + 5721664 = 30912^2 + 2392^2 .

It is not an unprimeable number, because it can be changed into a prime (961273409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19660 + ... + 48052.

Almost surely, 2^961273408 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 961273408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997069507).

961273408 is an abundant number, since it is smaller than the sum of its proper divisors (1032865606).

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

961273408 is a wasteful number, since it uses less digits than its factorization.

961273408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28451 (or 28418 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 961273408 is about 31004.4094928447. The cubic root of 961273408 is about 986.9208167628.

The spelling of 961273408 in words is "nine hundred sixty-one million, two hundred seventy-three thousand, four hundred eight".