108840240 has 160 divisors (see below), whose sum is σ = 384350400. Its totient is φ = 28293120.

The previous prime is 108840211. The next prime is 108840247. The reversal of 108840240 is 42048801.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (108840247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87946 + ... + 89174.

It is an arithmetic number, because the mean of its divisors is an integer number (2402190).

Almost surely, 2^108840240 is an apocalyptic number.

108840240 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 108840240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192175200).

108840240 is an abundant number, since it is smaller than the sum of its proper divisors (275510160).

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

108840240 is a wasteful number, since it uses less digits than its factorization.

108840240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 108840240 is about 10432.6525869503. The cubic root of 108840240 is about 477.4521246190.

It can be divided in two parts, 1088 and 40240, that added together give a triangular number (41328 = T₂₈₇).

The spelling of 108840240 in words is "one hundred eight million, eight hundred forty thousand, two hundred forty".