16293312 has 140 divisors (see below), whose sum is σ = 55321200. Its totient is φ = 4644864.

The previous prime is 16293311. The next prime is 16293337. The reversal of 16293312 is 21339261.

16293312 is a `hidden beast` number, since 1 + 629 + 3 + 31 + 2 = 666.

16293312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16293311) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 36064 + ... + 36512.

Almost surely, 2^16293312 is an apocalyptic number.

16293312 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 16293312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27660600).

16293312 is an abundant number, since it is smaller than the sum of its proper divisors (39027888).

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

16293312 is an equidigital number, since it uses as much as digits as its factorization.

16293312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 461 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 16293312 is about 4036.4974916380. The cubic root of 16293312 is about 253.5146870101.

It can be divided in two parts, 162 and 93312, that multiplied together give a square (15116544 = 3888²).

The spelling of 16293312 in words is "sixteen million, two hundred ninety-three thousand, three hundred twelve".