8442720 has 288 divisors, whose sum is σ = 34673184. Its totient is φ = 1843200.

The previous prime is 8442713. The next prime is 8442767. The reversal of 8442720 is 272448.

It is a tau number, because it is divible by the number of its divisors (288).

It is an Ulam number.

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, 205900 + ... + 205940.

It is an arithmetic number, because the mean of its divisors is an integer number (120393).

Almost surely, 2^8442720 is an apocalyptic number.

8442720 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 8442720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17336592).

8442720 is an abundant number, since it is smaller than the sum of its proper divisors (26230464).

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

8442720 is a wasteful number, since it uses less digits than its factorization.

8442720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 8442720 is about 2905.6359028619. The cubic root of 8442720 is about 203.6232955822.

The spelling of 8442720 in words is "eight million, four hundred forty-two thousand, seven hundred twenty".