163528416 has 96 divisors (see below), whose sum is σ = 487226880. Its totient is φ = 53336448.

The previous prime is 163528411. The next prime is 163528427. The reversal of 163528416 is 614825361.

It is a happy number.

163528416 is a `hidden beast` number, since 1 + 635 + 2 + 8 + 4 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163528411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38595 + ... + 42621.

It is an arithmetic number, because the mean of its divisors is an integer number (5075280).

Almost surely, 2^163528416 is an apocalyptic number.

163528416 is a gapful number since it is divisible by the number (16) 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 163528416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243613440).

163528416 is an abundant number, since it is smaller than the sum of its proper divisors (323698464).

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

163528416 is a wasteful number, since it uses less digits than its factorization.

163528416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4093 (or 4079 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 163528416 is about 12787.8229577986. The cubic root of 163528416 is about 546.8452070670.

The spelling of 163528416 in words is "one hundred sixty-three million, five hundred twenty-eight thousand, four hundred sixteen".