163976400 has 360 divisors, whose sum is σ = 677220544. Its totient is φ = 37324800.

The previous prime is 163976389. The next prime is 163976413. The reversal of 163976400 is 4679361.

163976400 is a `hidden beast` number, since 1 + 6 + 3 + 9 + 7 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 680280 + ... + 680520.

Almost surely, 2^163976400 is an apocalyptic number.

163976400 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 163976400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338610272).

163976400 is an abundant number, since it is smaller than the sum of its proper divisors (513244144).

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

163976400 is a wasteful number, since it uses less digits than its factorization.

163976400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 163976400 is about 12805.3270165193. The cubic root of 163976400 is about 547.3441102433.

The spelling of 163976400 in words is "one hundred sixty-three million, nine hundred seventy-six thousand, four hundred".