891696960 has 336 divisors, whose sum is σ = 3824825472. Its totient is φ = 185241600.

The previous prime is 891696947. The next prime is 891697013. The reversal of 891696960 is 69696198.

891696960 = T₂₁ + T₂₂ + ... + T₁₇₄₈.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 891696897 and 891696906.

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 47 ways as a sum of consecutive naturals, for example, 219750 + ... + 223770.

Almost surely, 2^891696960 is an apocalyptic number.

891696960 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 891696960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1912412736).

891696960 is an abundant number, since it is smaller than the sum of its proper divisors (2933128512).

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

891696960 is a wasteful number, since it uses less digits than its factorization.

891696960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4062 (or 4049 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The square root of 891696960 is about 29861.2953503360. The cubic root of 891696960 is about 962.5111340703.

The spelling of 891696960 in words is "eight hundred ninety-one million, six hundred ninety-six thousand, nine hundred sixty".