961246440 has 320 divisors, whose sum is σ = 4029125760. Its totient is φ = 199687680.

The previous prime is 961246427. The next prime is 961246457. The reversal of 961246440 is 44642169.

961246440 is a `hidden beast` number, since 9 + 6 + 1 + 2 + 4 + 644 + 0 = 666.

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 = 961246395 and 961246404.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 247554 + ... + 251406.

It is an arithmetic number, because the mean of its divisors is an integer number (12591018).

Almost surely, 2^961246440 is an apocalyptic number.

961246440 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 961246440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2014562880).

961246440 is an abundant number, since it is smaller than the sum of its proper divisors (3067879320).

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

961246440 is a wasteful number, since it uses less digits than its factorization.

961246440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3894 (or 3881 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 961246440 is about 31003.9745839142. The cubic root of 961246440 is about 986.9115875018.

The spelling of 961246440 in words is "nine hundred sixty-one million, two hundred forty-six thousand, four hundred forty".