8238720 has 128 divisors (see below), whose sum is σ = 30061440. Its totient is φ = 1880064.

The previous prime is 8238719. The next prime is 8238743. The reversal of 8238720 is 278328.

8238720 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 13134 + ... + 13746.

It is an arithmetic number, because the mean of its divisors is an integer number (234855).

Almost surely, 2^8238720 is an apocalyptic number.

8238720 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 8238720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15030720).

8238720 is an abundant number, since it is smaller than the sum of its proper divisors (21822720).

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

8238720 is a wasteful number, since it uses less digits than its factorization.

8238720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 8238720 is about 2870.3170556578. The cubic root of 8238720 is about 201.9698677402.

The spelling of 8238720 in words is "eight million, two hundred thirty-eight thousand, seven hundred twenty".