8628480 has 216 divisors, whose sum is σ = 34437312. Its totient is φ = 1953792.

The previous prime is 8628479. The next prime is 8628481. The reversal of 8628480 is 848268.

It is an interprime number because it is at equal distance from previous prime (8628479) and next prime (8628481).

It is a super-2 number, since 2×8628480² = 148901334220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8628481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80587 + ... + 80693.

It is an arithmetic number, because the mean of its divisors is an integer number (159432).

Almost surely, 2^8628480 is an apocalyptic number.

8628480 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 8628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17218656).

8628480 is an abundant number, since it is smaller than the sum of its proper divisors (25808832).

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

8628480 is a wasteful number, since it uses less digits than its factorization.

8628480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 8628480 is about 2937.4274459125. The cubic root of 8628480 is about 205.1058743212.

The spelling of 8628480 in words is "eight million, six hundred twenty-eight thousand, four hundred eighty".