8240832 has 112 divisors (see below), whose sum is σ = 25603200. Its totient is φ = 2592000.

The previous prime is 8240809. The next prime is 8240849. The reversal of 8240832 is 2380428.

It is a super-2 number, since 2×8240832² = 135822624104448, which contains 22 as substring.

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 = 8240796 and 8240805.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32707 + ... + 32957.

It is an arithmetic number, because the mean of its divisors is an integer number (228600).

Almost surely, 2^8240832 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 8240832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12801600).

8240832 is an abundant number, since it is smaller than the sum of its proper divisors (17362368).

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

8240832 is a wasteful number, since it uses less digits than its factorization.

8240832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 8240832 is about 2870.6849356904. The cubic root of 8240832 is about 201.9871246246.

The spelling of 8240832 in words is "eight million, two hundred forty thousand, eight hundred thirty-two".