163257120 has 576 divisors, whose sum is σ = 693463680. Its totient is φ = 35831808.

The previous prime is 163257109. The next prime is 163257173. The reversal of 163257120 is 21752361.

It is a happy number.

163257120 is a `hidden beast` number, since 1 + 632 + 5 + 7 + 1 + 20 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 8592471 + ... + 8592489.

It is an arithmetic number, because the mean of its divisors is an integer number (1203930).

Almost surely, 2^163257120 is an apocalyptic number.

163257120 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 163257120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346731840).

163257120 is an abundant number, since it is smaller than the sum of its proper divisors (530206560).

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

163257120 is a wasteful number, since it uses less digits than its factorization.

163257120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 163257120 is about 12777.2109632736. The cubic root of 163257120 is about 546.5426316519.

The spelling of 163257120 in words is "one hundred sixty-three million, two hundred fifty-seven thousand, one hundred twenty".