108865440 has 288 divisors, whose sum is σ = 410417280. Its totient is φ = 26155008.

The previous prime is 108865439. The next prime is 108865447. The reversal of 108865440 is 44568801.

108865440 is a `hidden beast` number, since 108 + 8 + 6 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 108865395 and 108865404.

It is not an unprimeable number, because it can be changed into a prime (108865447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 629194 + ... + 629366.

It is an arithmetic number, because the mean of its divisors is an integer number (1425060).

Almost surely, 2^108865440 is an apocalyptic number.

108865440 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 108865440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205208640).

108865440 is an abundant number, since it is smaller than the sum of its proper divisors (301551840).

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

108865440 is a wasteful number, since it uses less digits than its factorization.

108865440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 108865440 is about 10433.8602635841. The cubic root of 108865440 is about 477.4889702596.

The spelling of 108865440 in words is "one hundred eight million, eight hundred sixty-five thousand, four hundred forty".