832890240 has 576 divisors, whose sum is σ = 3618866160. Its totient is φ = 174956544.

The previous prime is 832890221. The next prime is 832890241. The reversal of 832890240 is 42098238.

832890240 is a `hidden beast` number, since 8 + 328 + 90 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×832890240³ (a number of 28 digits) contains 333 as substring.

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 = 832890195 and 832890204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (832890241) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3669007 + ... + 3669233.

Almost surely, 2^832890240 is an apocalyptic number.

832890240 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 832890240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1809433080).

832890240 is an abundant number, since it is smaller than the sum of its proper divisors (2785975920).

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

832890240 is a wasteful number, since it uses less digits than its factorization.

832890240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 832890240 is about 28859.8378373822. The cubic root of 832890240 is about 940.8692125951.

The spelling of 832890240 in words is "eight hundred thirty-two million, eight hundred ninety thousand, two hundred forty".