16948032 has 56 divisors (see below), whose sum is σ = 45329856. Its totient is φ = 5587968.

The previous prime is 16948027. The next prime is 16948037. The reversal of 16948032 is 23084961.

It is an interprime number because it is at equal distance from previous prime (16948027) and next prime (16948037).

It is a junction number, because it is equal to n+sod(n) for n = 16947984 and 16948002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16948037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19348 + ... + 20204.

Almost surely, 2^16948032 is an apocalyptic number.

16948032 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 16948032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22664928).

16948032 is an abundant number, since it is smaller than the sum of its proper divisors (28381824).

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

16948032 is a wasteful number, since it uses less digits than its factorization.

16948032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 16948032 is about 4116.7987563154. The cubic root of 16948032 is about 256.8658830775.

The spelling of 16948032 in words is "sixteen million, nine hundred forty-eight thousand, thirty-two".