891838752 has 144 divisors (see below), whose sum is σ = 2766609216. Its totient is φ = 246412800.

The previous prime is 891838733. The next prime is 891838757. The reversal of 891838752 is 257838198.

It is a super-4 number, since 4×891838752⁴ (a number of 37 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 891838695 and 891838704.

It is not an unprimeable number, because it can be changed into a prime (891838757) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 645102 + ... + 646482.

It is an arithmetic number, because the mean of its divisors is an integer number (19212564).

Almost surely, 2^891838752 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 891838752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383304608).

891838752 is an abundant number, since it is smaller than the sum of its proper divisors (1874770464).

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

891838752 is a wasteful number, since it uses less digits than its factorization.

891838752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1463 (or 1424 counting only the distinct ones).

The product of its digits is 967680, while the sum is 51.

The square root of 891838752 is about 29863.6694329414. The cubic root of 891838752 is about 962.5621488402.

The spelling of 891838752 in words is "eight hundred ninety-one million, eight hundred thirty-eight thousand, seven hundred fifty-two".