163788000 has 96 divisors (see below), whose sum is σ = 536608800. Its totient is φ = 43673600.

The previous prime is 163787971. The next prime is 163788007. The reversal of 163788000 is 887361.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163788007) 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, 5176 + ... + 18824.

It is an arithmetic number, because the mean of its divisors is an integer number (5589675).

Almost surely, 2^163788000 is an apocalyptic number.

163788000 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 163788000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268304400).

163788000 is an abundant number, since it is smaller than the sum of its proper divisors (372820800).

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

163788000 is a wasteful number, since it uses less digits than its factorization.

163788000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13677 (or 13659 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 163788000 is about 12797.9685888035. The cubic root of 163788000 is about 547.1344070004.

The spelling of 163788000 in words is "one hundred sixty-three million, seven hundred eighty-eight thousand".