8406720 has 224 divisors, whose sum is σ = 34137600. Its totient is φ = 1907712.

The previous prime is 8406719. The next prime is 8406737. The reversal of 8406720 is 276048.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×8406720³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60411 + ... + 60549.

It is an arithmetic number, because the mean of its divisors is an integer number (152400).

Almost surely, 2^8406720 is an apocalyptic number.

8406720 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 8406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17068800).

8406720 is an abundant number, since it is smaller than the sum of its proper divisors (25730880).

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

8406720 is a wasteful number, since it uses less digits than its factorization.

8406720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 8406720 is about 2899.4344276083. The cubic root of 8406720 is about 203.3334647197. Note that the first 3 decimals are identical.

The spelling of 8406720 in words is "eight million, four hundred six thousand, seven hundred twenty".