8578480 has 40 divisors (see below), whose sum is σ = 20101392. Its totient is φ = 3404544.

The previous prime is 8578477. The next prime is 8578513. The reversal of 8578480 is 848758.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×8578480² = 147180638220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12219 + ... + 12901.

Almost surely, 2^8578480 is an apocalyptic number.

8578480 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 8578480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10050696).

8578480 is an abundant number, since it is smaller than the sum of its proper divisors (11522912).

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

8578480 is a wasteful number, since it uses less digits than its factorization.

8578480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 40.

The square root of 8578480 is about 2928.9042319612. The cubic root of 8578480 is about 204.7089265879.

The spelling of 8578480 in words is "eight million, five hundred seventy-eight thousand, four hundred eighty".