891408960 has 336 divisors, whose sum is σ = 3419947440. Its totient is φ = 211599360.

The previous prime is 891408943. The next prime is 891408967. The reversal of 891408960 is 69804198.

It can be written as a sum of positive squares in 8 ways, for example, as 117679104 + 773729856 = 10848^2 + 27816^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (891408967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1085350 + ... + 1086170.

It is an arithmetic number, because the mean of its divisors is an integer number (10178415).

Almost surely, 2^891408960 is an apocalyptic number.

891408960 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 891408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709973720).

891408960 is an abundant number, since it is smaller than the sum of its proper divisors (2528538480).

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

891408960 is a wasteful number, since it uses less digits than its factorization.

891408960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 891408960 is about 29856.4726650688. The cubic root of 891408960 is about 962.4074990657.

The spelling of 891408960 in words is "eight hundred ninety-one million, four hundred eight thousand, nine hundred sixty".