16338672 has 100 divisors (see below), whose sum is σ = 54074416. Its totient is φ = 4665600.

The previous prime is 16338607. The next prime is 16338703. The reversal of 16338672 is 27683361.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8172 + ... + 9972.

Almost surely, 2^16338672 is an apocalyptic number.

16338672 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 16338672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27037208).

16338672 is an abundant number, since it is smaller than the sum of its proper divisors (37735744).

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

16338672 is a wasteful number, since it uses less digits than its factorization.

16338672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1828 (or 1813 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 16338672 is about 4042.1123190728. The cubic root of 16338672 is about 253.7497276482.

The spelling of 16338672 in words is "sixteen million, three hundred thirty-eight thousand, six hundred seventy-two".