16382088 has 84 divisors (see below), whose sum is σ = 46938885. Its totient is φ = 5357664.

The previous prime is 16382087. The next prime is 16382131. The reversal of 16382088 is 88028361.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 15539364 + 842724 = 3942^2 + 918^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=2862.

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

It is not an unprimeable number, because it can be changed into a prime (16382087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 309070 + ... + 309122.

Almost surely, 2^16382088 is an apocalyptic number.

16382088 is a gapful number since it is divisible by the number (18) 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 16382088

16382088 is an abundant number, since it is smaller than the sum of its proper divisors (30556797).

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

16382088 is an frugal number, since it uses more digits than its factorization.

16382088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 16382088 is about 4047.4792155118. The cubic root of 16382088 is about 253.9742880126.

Multiplying 16382088 by its product of nonzero digits (18432), we get a square (301954646016 = 549504²).

The spelling of 16382088 in words is "sixteen million, three hundred eighty-two thousand, eighty-eight".