110479840 has 48 divisors (see below), whose sum is σ = 263112192. Its totient is φ = 43835904.

The previous prime is 110479829. The next prime is 110479867. The reversal of 110479840 is 48974011.

It is a junction number, because it is equal to n+sod(n) for n = 110479796 and 110479805.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 17602 + ... + 23038.

It is an arithmetic number, because the mean of its divisors is an integer number (5481504).

Almost surely, 2^110479840 is an apocalyptic number.

110479840 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 110479840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131556096).

110479840 is an abundant number, since it is smaller than the sum of its proper divisors (152632352).

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

110479840 is a wasteful number, since it uses less digits than its factorization.

110479840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5579 (or 5571 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 110479840 is about 10510.9390636612. The cubic root of 110479840 is about 479.8376765942.

The spelling of 110479840 in words is "one hundred ten million, four hundred seventy-nine thousand, eight hundred forty".