961817040 has 120 divisors (see below), whose sum is σ = 3246977448. Its totient is φ = 255144960.

The previous prime is 961817039. The next prime is 961817053. The reversal of 961817040 is 40718169.

It can be written as a sum of positive squares in 4 ways, for example, as 315843984 + 645973056 = 17772^2 + 25416^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 961816986 and 961817004.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 138450 + ... + 145230.

Almost surely, 2^961817040 is an apocalyptic number.

961817040 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 961817040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1623488724).

961817040 is an abundant number, since it is smaller than the sum of its proper divisors (2285160408).

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

961817040 is a wasteful number, since it uses less digits than its factorization.

961817040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6997 (or 6988 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 961817040 is about 31013.1752647161. The cubic root of 961817040 is about 987.1068271890.

The spelling of 961817040 in words is "nine hundred sixty-one million, eight hundred seventeen thousand, forty".