832553640 has 160 divisors (see below), whose sum is σ = 2811057480. Its totient is φ = 221004288.

The previous prime is 832553611. The next prime is 832553641. The reversal of 832553640 is 46355238.

It is a happy number.

832553640 is a `hidden beast` number, since 8 + 3 + 2 + 5 + 5 + 3 + 640 = 666.

832553640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 832553316 + 324 = 28854^2 + 18^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 832553595 and 832553604.

It is not an unprimeable number, because it can be changed into a prime (832553641) 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, 948882 + ... + 949758.

Almost surely, 2^832553640 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 832553640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405528740).

832553640 is an abundant number, since it is smaller than the sum of its proper divisors (1978503840).

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

832553640 is a wasteful number, since it uses less digits than its factorization.

832553640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 832553640 is about 28854.0056144723. The cubic root of 832553640 is about 940.7424494940.

The spelling of 832553640 in words is "eight hundred thirty-two million, five hundred fifty-three thousand, six hundred forty".