163680000 has 360 divisors, whose sum is σ = 613003776. Its totient is φ = 38400000.

The previous prime is 163679987. The next prime is 163680007. The reversal of 163680000 is 86361.

It is a super-2 number, since 2×163680000² = 53582284800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163680007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5279985 + ... + 5280015.

Almost surely, 2^163680000 is an apocalyptic number.

163680000 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 163680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306501888).

163680000 is an abundant number, since it is smaller than the sum of its proper divisors (449323776).

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

163680000 is an equidigital number, since it uses as much as digits as its factorization.

163680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 163680000 is about 12793.7484733756. The cubic root of 163680000 is about 547.0141224280.

The spelling of 163680000 in words is "one hundred sixty-three million, six hundred eighty thousand".