891940896 has 480 divisors, whose sum is σ = 3380952960. Its totient is φ = 223948800.

The previous prime is 891940871. The next prime is 891940909. The reversal of 891940896 is 698049198.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8182890 + ... + 8182998.

It is an arithmetic number, because the mean of its divisors is an integer number (7043652).

Almost surely, 2^891940896 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 891940896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1690476480).

891940896 is an abundant number, since it is smaller than the sum of its proper divisors (2489012064).

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

891940896 is a wasteful number, since it uses less digits than its factorization.

891940896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The square root of 891940896 is about 29865.3795555992. The cubic root of 891940896 is about 962.5988954660.

The spelling of 891940896 in words is "eight hundred ninety-one million, nine hundred forty thousand, eight hundred ninety-six".