891213792 has 192 divisors, whose sum is σ = 2786918400. Its totient is φ = 244016640.

The previous prime is 891213781. The next prime is 891213793. The reversal of 891213792 is 297312198.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (891213793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3728809 + ... + 3729047.

It is an arithmetic number, because the mean of its divisors is an integer number (14515200).

Almost surely, 2^891213792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 891213792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393459200).

891213792 is an abundant number, since it is smaller than the sum of its proper divisors (1895704608).

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

891213792 is a wasteful number, since it uses less digits than its factorization.

891213792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 461 counting only the distinct ones).

The product of its digits is 54432, while the sum is 42.

The square root of 891213792 is about 29853.2040491469. The cubic root of 891213792 is about 962.3372563881.

The spelling of 891213792 in words is "eight hundred ninety-one million, two hundred thirteen thousand, seven hundred ninety-two".