108894240 has 384 divisors, whose sum is σ = 470776320. Its totient is φ = 22892544.

The previous prime is 108894239. The next prime is 108894271. The reversal of 108894240 is 42498801.

It is a super-4 number, since 4×108894240⁴ (a number of 33 digits) contains 4444 as substring.

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 = 108894195 and 108894204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 392982 + ... + 393258.

It is an arithmetic number, because the mean of its divisors is an integer number (1225980).

Almost surely, 2^108894240 is an apocalyptic number.

108894240 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 108894240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235388160).

108894240 is an abundant number, since it is smaller than the sum of its proper divisors (361882080).

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

108894240 is a wasteful number, since it uses less digits than its factorization.

108894240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 108894240 is about 10435.2402943104. The cubic root of 108894240 is about 477.5310726013.

It can be divided in two parts, 10889 and 4240, that added together give a square (15129 = 123²).

The spelling of 108894240 in words is "one hundred eight million, eight hundred ninety-four thousand, two hundred forty".