163293312 has 128 divisors (see below), whose sum is σ = 533957760. Its totient is φ = 43057152.

The previous prime is 163293301. The next prime is 163293329. The reversal of 163293312 is 213392361.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 163293312.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32608 + ... + 37280.

It is an arithmetic number, because the mean of its divisors is an integer number (4171545).

Almost surely, 2^163293312 is an apocalyptic number.

163293312 is a gapful number since it is divisible by the number (12) 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 163293312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266978880).

163293312 is an abundant number, since it is smaller than the sum of its proper divisors (370664448).

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

163293312 is a wasteful number, since it uses less digits than its factorization.

163293312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4710 (or 4698 counting only the distinct ones).

The product of its digits is 5832, while the sum is 30.

The square root of 163293312 is about 12778.6271563106. The cubic root of 163293312 is about 546.5830158209.

The spelling of 163293312 in words is "one hundred sixty-three million, two hundred ninety-three thousand, three hundred twelve".