16785132 has 96 divisors (see below), whose sum is σ = 50803200. Its totient is φ = 4188672.

The previous prime is 16785127. The next prime is 16785143. The reversal of 16785132 is 23158761.

It is a junction number, because it is equal to n+sod(n) for n = 16785093 and 16785102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20344 + ... + 21152.

It is an arithmetic number, because the mean of its divisors is an integer number (529200).

Almost surely, 2^16785132 is an apocalyptic number.

16785132 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 16785132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25401600).

16785132 is an abundant number, since it is smaller than the sum of its proper divisors (34018068).

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

16785132 is a wasteful number, since it uses less digits than its factorization.

16785132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 853 counting only the distinct ones).

The product of its digits is 10080, while the sum is 33.

The square root of 16785132 is about 4096.9661946372. The cubic root of 16785132 is about 256.0402565273.

The spelling of 16785132 in words is "sixteen million, seven hundred eighty-five thousand, one hundred thirty-two".