849632832 has 84 divisors (see below), whose sum is σ = 2494786476. Its totient is φ = 276295680.

The previous prime is 849632821. The next prime is 849632837. The reversal of 849632832 is 238236948.

849632832 is a `hidden beast` number, since 8 + 4 + 9 + 632 + 8 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 447068736 + 402564096 = 21144^2 + 20064^2 .

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

It is not an unprimeable number, because it can be changed into a prime (849632837) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5628 + ... + 41604.

It is an arithmetic number, because the mean of its divisors is an integer number (29699839).

Almost surely, 2^849632832 is an apocalyptic number.

849632832 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 849632832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247393238).

849632832 is an abundant number, since it is smaller than the sum of its proper divisors (1645153644).

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

849632832 is a wasteful number, since it uses less digits than its factorization.

849632832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36036 (or 36023 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 849632832 is about 29148.4619148249. The cubic root of 849632832 is about 947.1318228032.

It can be divided in two parts, 8496 and 32832, that added together give a triangular number (41328 = T₂₈₇).

The spelling of 849632832 in words is "eight hundred forty-nine million, six hundred thirty-two thousand, eight hundred thirty-two".