8880006408 has 64 divisors (see below), whose sum is σ = 27323103360. Its totient is φ = 2341979136.

The previous prime is 8880006391. The next prime is 8880006409. The reversal of 8880006408 is 8046000888.

It is a super-2 number, since 2×8880006408² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 8880006408.

It is not an unprimeable number, because it can be changed into a prime (8880006409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2030785 + ... + 2035152.

It is an arithmetic number, because the mean of its divisors is an integer number (426923490).

Almost surely, 2^8880006408 is an apocalyptic number.

It is an amenable number.

8880006408 is an abundant number, since it is smaller than the sum of its proper divisors (18443096952).

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

8880006408 is a wasteful number, since it uses less digits than its factorization.

8880006408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4065966 (or 4065962 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 42.

The square root of 8880006408 is about 94233.7859156683. The cubic root of 8880006408 is about 2070.7981090075.

The spelling of 8880006408 in words is "eight billion, eight hundred eighty million, six thousand, four hundred eight".