109584640 has 144 divisors (see below), whose sum is σ = 294630336. Its totient is φ = 38707200.

The previous prime is 109584623. The next prime is 109584641. The reversal of 109584640 is 46485901.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 109584640.

It is not an unprimeable number, because it can be changed into a prime (109584641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 605350 + ... + 605530.

It is an arithmetic number, because the mean of its divisors is an integer number (2046044).

Almost surely, 2^109584640 is an apocalyptic number.

109584640 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 109584640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147315168).

109584640 is an abundant number, since it is smaller than the sum of its proper divisors (185045696).

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

109584640 is a wasteful number, since it uses less digits than its factorization.

109584640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 109584640 is about 10468.2682426464. The cubic root of 109584640 is about 478.5381449871.

It can be divided in two parts, 109584 and 640, that added together give a square (110224 = 332²).

The spelling of 109584640 in words is "one hundred nine million, five hundred eighty-four thousand, six hundred forty".