8961170400 has 1152 divisors, whose sum is σ = 41157365760. Its totient is φ = 1831403520.

The previous prime is 8961170399. The next prime is 8961170467. The reversal of 8961170400 is 40711698.

8961170400 is a `hidden beast` number, since 89 + 6 + 1 + 170 + 400 = 666.

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

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 191 ways as a sum of consecutive naturals, for example, 92383152 + ... + 92383248.

It is an arithmetic number, because the mean of its divisors is an integer number (35726880).

Almost surely, 2^8961170400 is an apocalyptic number.

8961170400 is a gapful number since it is divisible by the number (80) 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 8961170400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20578682880).

8961170400 is an abundant number, since it is smaller than the sum of its proper divisors (32196195360).

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

8961170400 is a wasteful number, since it uses less digits than its factorization.

8961170400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 174 counting only the distinct ones).

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

The square root of 8961170400 is about 94663.4586310895. The cubic root of 8961170400 is about 2077.0880727419.

The spelling of 8961170400 in words is "eight billion, nine hundred sixty-one million, one hundred seventy thousand, four hundred".