108591840 has 504 divisors, whose sum is σ = 470995560. Its totient is φ = 23514624.

The previous prime is 108591827. The next prime is 108591841. The reversal of 108591840 is 48195801.

It is a tau number, because it is divible by the number of its divisors (504).

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 = 108591795 and 108591804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108591841) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 5715351 + ... + 5715369.

It is an arithmetic number, because the mean of its divisors is an integer number (934515).

Almost surely, 2^108591840 is an apocalyptic number.

108591840 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 108591840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235497780).

108591840 is an abundant number, since it is smaller than the sum of its proper divisors (362403720).

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

108591840 is an equidigital number, since it uses as much as digits as its factorization.

108591840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 108591840 is about 10420.7408565802. The cubic root of 108591840 is about 477.0886271774.

The spelling of 108591840 in words is "one hundred eight million, five hundred ninety-one thousand, eight hundred forty".