163352000 has 112 divisors (see below), whose sum is σ = 462491328. Its totient is φ = 55987200.

The previous prime is 163351973. The next prime is 163352011. The reversal of 163352000 is 253361.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54542 + ... + 57458.

Almost surely, 2^163352000 is an apocalyptic number.

163352000 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 163352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231245664).

163352000 is an abundant number, since it is smaller than the sum of its proper divisors (299139328).

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

163352000 is an equidigital number, since it uses as much as digits as its factorization.

163352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2951 (or 2931 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 163352000 is about 12780.9232843328. The cubic root of 163352000 is about 546.6484890512.

The spelling of 163352000 in words is "one hundred sixty-three million, three hundred fifty-two thousand".