8608518400 has 108 divisors (see below), whose sum is σ = 21345303952. Its totient is φ = 3437291520.

The previous prime is 8608518379. The next prime is 8608518409. The reversal of 8608518400 is 48158068.

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

It is not an unprimeable number, because it can be changed into a prime (8608518409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5804059 + ... + 5805541.

Almost surely, 2^8608518400 is an apocalyptic number.

8608518400 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 8608518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10672651976).

8608518400 is an abundant number, since it is smaller than the sum of its proper divisors (12736785552).

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

8608518400 is a wasteful number, since it uses less digits than its factorization.

8608518400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2416 (or 2397 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 40.

The square root of 8608518400 is about 92782.1017222611. The cubic root of 8608518400 is about 2049.4758445766.

The spelling of 8608518400 in words is "eight billion, six hundred eight million, five hundred eighteen thousand, four hundred".