16888872 has 256 divisors, whose sum is σ = 61286400. Its totient is φ = 3732480.

The previous prime is 16888847. The next prime is 16888901. The reversal of 16888872 is 27888861.

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

Its product of digits (344064) is a multiple of the sum of its prime factors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 456438 + ... + 456474.

It is an arithmetic number, because the mean of its divisors is an integer number (239400).

Almost surely, 2^16888872 is an apocalyptic number.

16888872 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 16888872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30643200).

16888872 is an abundant number, since it is smaller than the sum of its proper divisors (44397528).

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

16888872 is a wasteful number, since it uses less digits than its factorization.

16888872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 92 counting only the distinct ones).

The product of its digits is 344064, while the sum is 48.

The square root of 16888872 is about 4109.6072805075. The cubic root of 16888872 is about 256.5666565628.

It can be divided in two parts, 168 and 88872, that multiplied together give a square (14930496 = 3864²).

The spelling of 16888872 in words is "sixteen million, eight hundred eighty-eight thousand, eight hundred seventy-two".