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108864000 = 2935537

108864000 has 480 divisors, whose sum is σ = 464720256. Its totient is φ = 24883200.

The previous prime is 108863983. The next prime is 108864001. The reversal of 108864000 is 468801.

108864000 is a `hidden beast` number, since 10 + 8 + 8 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108864001) 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, 15551997 + ... + 15552003.

Almost surely, 2108864000 is an apocalyptic number.

108864000 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 108864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232360128).

108864000 is an abundant number, since it is smaller than the sum of its proper divisors (355856256).

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

108864000 is an frugal number, since it uses more digits than its factorization.

108864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 108864000 is about 10433.7912572564. The cubic root of 108864000 is about 477.4868649476.

The spelling of 108864000 in words is "one hundred eight million, eight hundred sixty-four thousand".