961813440 has 784 divisors, whose sum is σ = 4264273920. Its totient is φ = 201553920.

The previous prime is 961813439. The next prime is 961813469. The reversal of 961813440 is 44318169.

961813440 is a `hidden beast` number, since 9 + 618 + 1 + 34 + 4 + 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 = 961813395 and 961813404.

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 111 ways as a sum of consecutive naturals, for example, 31026225 + ... + 31026255.

Almost surely, 2^961813440 is an apocalyptic number.

961813440 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 961813440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2132136960).

961813440 is an abundant number, since it is smaller than the sum of its proper divisors (3302460480).

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

961813440 is a wasteful number, since it uses less digits than its factorization.

961813440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 961813440 is about 31013.1172248131. The cubic root of 961813440 is about 987.1055956350.

The spelling of 961813440 in words is "nine hundred sixty-one million, eight hundred thirteen thousand, four hundred forty".