891997968 has 80 divisors (see below), whose sum is σ = 2436844032. Its totient is φ = 280704000.

The previous prime is 891997957. The next prime is 891997969. The reversal of 891997968 is 869799198.

It is a super-2 number, since 2×891997968² = 1591320749832258048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 891997899 and 891997908.

It is not an unprimeable number, because it can be changed into a prime (891997969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53698 + ... + 68318.

Almost surely, 2^891997968 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 891997968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218422016).

891997968 is an abundant number, since it is smaller than the sum of its proper divisors (1544846064).

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

891997968 is a wasteful number, since it uses less digits than its factorization.

891997968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14704 (or 14698 counting only the distinct ones).

The product of its digits is 17635968, while the sum is 66.

The square root of 891997968 is about 29866.3350279207. The cubic root of 891997968 is about 962.6194260761.

The spelling of 891997968 in words is "eight hundred ninety-one million, nine hundred ninety-seven thousand, nine hundred sixty-eight".