831536640 has 480 divisors, whose sum is σ = 3343687776. Its totient is φ = 188743680.

The previous prime is 831536627. The next prime is 831536681. The reversal of 831536640 is 46635138.

831536640 is a `hidden beast` number, since 8 + 3 + 1 + 5 + 3 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 831536595 and 831536604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4308384 + ... + 4308576.

Almost surely, 2^831536640 is an apocalyptic number.

831536640 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 831536640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671843888).

831536640 is an abundant number, since it is smaller than the sum of its proper divisors (2512151136).

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

831536640 is a wasteful number, since it uses less digits than its factorization.

831536640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 831536640 is about 28836.3770262493. The cubic root of 831536640 is about 940.3592409918.

The spelling of 831536640 in words is "eight hundred thirty-one million, five hundred thirty-six thousand, six hundred forty".