108744480 has 288 divisors, whose sum is σ = 413051184. Its totient is φ = 25878528.

The previous prime is 108744457. The next prime is 108744487. The reversal of 108744480 is 84447801.

It is a happy number.

108744480 is a `hidden beast` number, since 108 + 74 + 4 + 480 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 38787984 + 69956496 = 6228^2 + 8364^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (108744487) 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, 692562 + ... + 692718.

Almost surely, 2^108744480 is an apocalyptic number.

108744480 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 108744480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206525592).

108744480 is an abundant number, since it is smaller than the sum of its proper divisors (304306704).

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

108744480 is a wasteful number, since it uses less digits than its factorization.

108744480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 108744480 is about 10428.0621402061. The cubic root of 108744480 is about 477.3120592941.

The spelling of 108744480 in words is "one hundred eight million, seven hundred forty-four thousand, four hundred eighty".