163128600 has 192 divisors, whose sum is σ = 595274400. Its totient is φ = 40919040.

The previous prime is 163128599. The next prime is 163128611. The reversal of 163128600 is 6821361.

163128600 is a `hidden beast` number, since 1 + 6 + 31 + 28 + 600 = 666.

It is a super-2 number, since 2×163128600² = 53221880275920000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90912 + ... + 92688.

Almost surely, 2^163128600 is an apocalyptic number.

163128600 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 163128600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297637200).

163128600 is an abundant number, since it is smaller than the sum of its proper divisors (432145800).

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

163128600 is a wasteful number, since it uses less digits than its factorization.

163128600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1819 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 163128600 is about 12772.1807065199. The cubic root of 163128600 is about 546.3991767568.

Adding to 163128600 its reverse (6821361), we get a palindrome (169949961).

The spelling of 163128600 in words is "one hundred sixty-three million, one hundred twenty-eight thousand, six hundred".