891241272 has 128 divisors (see below), whose sum is σ = 2556187200. Its totient is φ = 287539200.

The previous prime is 891241261. The next prime is 891241279. The reversal of 891241272 is 272142198.

891241272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×891241272² = 1588622009832355968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (891241279) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1390072 + ... + 1390712.

Almost surely, 2^891241272 is an apocalyptic number.

891241272 is a gapful number since it is divisible by the number (82) 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 891241272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278093600).

891241272 is an abundant number, since it is smaller than the sum of its proper divisors (1664945928).

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

891241272 is a wasteful number, since it uses less digits than its factorization.

891241272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 844 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 891241272 is about 29853.6642977039. The cubic root of 891241272 is about 962.3471473018.

The spelling of 891241272 in words is "eight hundred ninety-one million, two hundred forty-one thousand, two hundred seventy-two".