16337680 has 80 divisors (see below), whose sum is σ = 41341104. Its totient is φ = 5980160.

The previous prime is 16337677. The next prime is 16337681. The reversal of 16337680 is 8673361.

It can be written as a sum of positive squares in 8 ways, for example, as 80656 + 16257024 = 284^2 + 4032^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (16337681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55614 + ... + 55906.

Almost surely, 2^16337680 is an apocalyptic number.

16337680 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 16337680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20670552).

16337680 is an abundant number, since it is smaller than the sum of its proper divisors (25003424).

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

16337680 is a wasteful number, since it uses less digits than its factorization.

16337680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 16337680 is about 4041.9896090910. The cubic root of 16337680 is about 253.7445920855.

The spelling of 16337680 in words is "sixteen million, three hundred thirty-seven thousand, six hundred eighty".