891471672 has 192 divisors, whose sum is σ = 2987712000. Its totient is φ = 233839872.

The previous prime is 891471671. The next prime is 891471683. The reversal of 891471672 is 276174198.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (891471671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2351979 + ... + 2352357.

It is an arithmetic number, because the mean of its divisors is an integer number (15561000).

Almost surely, 2^891471672 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 891471672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493856000).

891471672 is an abundant number, since it is smaller than the sum of its proper divisors (2096240328).

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

891471672 is a wasteful number, since it uses less digits than its factorization.

891471672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 763 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 891471672 is about 29857.5228711291. The cubic root of 891471672 is about 962.4300674889.

The spelling of 891471672 in words is "eight hundred ninety-one million, four hundred seventy-one thousand, six hundred seventy-two".