108618000 has 160 divisors (see below), whose sum is σ = 359179392. Its totient is φ = 28224000.

The previous prime is 108617959. The next prime is 108618019. The reversal of 108618000 is 816801.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257790 + ... + 258210.

Almost surely, 2^108618000 is an apocalyptic number.

108618000 is a gapful number since it is divisible by the number (10) 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 108618000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179589696).

108618000 is an abundant number, since it is smaller than the sum of its proper divisors (250561392).

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

108618000 is a wasteful number, since it uses less digits than its factorization.

108618000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 108618000 is about 10421.9959700625. The cubic root of 108618000 is about 477.1269346488.

The spelling of 108618000 in words is "one hundred eight million, six hundred eighteen thousand".