16938460 has 96 divisors (see below), whose sum is σ = 47029248. Its totient is φ = 4961280.

The previous prime is 16938451. The next prime is 16938461. The reversal of 16938460 is 6483961.

It is a super-2 number, since 2×16938460² = 573822854343200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16938461) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25857 + ... + 26503.

It is an arithmetic number, because the mean of its divisors is an integer number (489888).

Almost surely, 2^16938460 is an apocalyptic number.

16938460 is a gapful number since it is divisible by the number (10) 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 16938460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23514624).

16938460 is an abundant number, since it is smaller than the sum of its proper divisors (30090788).

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

16938460 is a wasteful number, since it uses less digits than its factorization.

16938460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 16938460 is about 4115.6360383299. The cubic root of 16938460 is about 256.8175159424.

It can be divided in two parts, 1693 and 8460, that added together give a triangular number (10153 = T₁₄₂).

The spelling of 16938460 in words is "sixteen million, nine hundred thirty-eight thousand, four hundred sixty".