961220736 has 128 divisors (see below), whose sum is σ = 3242294400. Its totient is φ = 274627584.

The previous prime is 961220707. The next prime is 961220779. The reversal of 961220736 is 637022169.

961220736 is a `hidden beast` number, since 9 + 612 + 2 + 0 + 7 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a self number, because there is not a number n which added to its sum of digits gives 961220736.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4326 + ... + 44058.

It is an arithmetic number, because the mean of its divisors is an integer number (25330425).

Almost surely, 2^961220736 is an apocalyptic number.

961220736 is a gapful number since it is divisible by the number (96) 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 961220736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621147200).

961220736 is an abundant number, since it is smaller than the sum of its proper divisors (2281073664).

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

961220736 is a wasteful number, since it uses less digits than its factorization.

961220736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39763 (or 39745 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 961220736 is about 31003.5600536455. The cubic root of 961220736 is about 986.9027906590.

The spelling of 961220736 in words is "nine hundred sixty-one million, two hundred twenty thousand, seven hundred thirty-six".