961099776 has 384 divisors, whose sum is σ = 3522355200. Its totient is φ = 252149760.

The previous prime is 961099771. The next prime is 961099801. The reversal of 961099776 is 677990169.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961099771) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5031841 + ... + 5032031.

It is an arithmetic number, because the mean of its divisors is an integer number (9172800).

Almost surely, 2^961099776 is an apocalyptic number.

961099776 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 961099776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761177600).

961099776 is an abundant number, since it is smaller than the sum of its proper divisors (2561255424).

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

961099776 is a wasteful number, since it uses less digits than its factorization.

961099776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 1285956, while the sum is 54.

The square root of 961099776 is about 31001.6092485535. The cubic root of 961099776 is about 986.8613916460.

The spelling of 961099776 in words is "nine hundred sixty-one million, ninety-nine thousand, seven hundred seventy-six".