8240672 has 48 divisors (see below), whose sum is σ = 18162144. Its totient is φ = 3648000.

The previous prime is 8240671. The next prime is 8240681. The reversal of 8240672 is 2760428.

It is a super-3 number, since 3×8240672³ (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (8240671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14147 + ... + 14717.

It is an arithmetic number, because the mean of its divisors is an integer number (378378).

Almost surely, 2^8240672 is an apocalyptic number.

8240672 is a gapful number since it is divisible by the number (82) 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 8240672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9081072).

8240672 is an abundant number, since it is smaller than the sum of its proper divisors (9921472).

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

8240672 is a wasteful number, since it uses less digits than its factorization.

8240672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 8240672 is about 2870.6570676415. The cubic root of 8240672 is about 201.9858173881.

The spelling of 8240672 in words is "eight million, two hundred forty thousand, six hundred seventy-two".