832181040 has 200 divisors, whose sum is σ = 2911376160. Its totient is φ = 220299264.

The previous prime is 832181011. The next prime is 832181041. The reversal of 832181040 is 40181238.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 832180995 and 832181013.

It is not an unprimeable number, because it can be changed into a prime (832181041) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1081776 + ... + 1082544.

Almost surely, 2^832181040 is an apocalyptic number.

832181040 is a gapful number since it is divisible by the number (80) 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 832181040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455688080).

832181040 is an abundant number, since it is smaller than the sum of its proper divisors (2079195120).

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

832181040 is a wasteful number, since it uses less digits than its factorization.

832181040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 832181040 is about 28847.5482493747. The cubic root of 832181040 is about 940.6020889921.

The spelling of 832181040 in words is "eight hundred thirty-two million, one hundred eighty-one thousand, forty".