16338240 has 224 divisors, whose sum is σ = 60472320. Its totient is φ = 4147200.

The previous prime is 16338239. The next prime is 16338247. The reversal of 16338240 is 4283361.

It is a happy number.

16338240 is a `hidden beast` number, since 1 + 633 + 8 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16338247) 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 31 ways as a sum of consecutive naturals, for example, 267810 + ... + 267870.

Almost surely, 2^16338240 is an apocalyptic number.

16338240 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 16338240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30236160).

16338240 is an abundant number, since it is smaller than the sum of its proper divisors (44134080).

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

16338240 is a wasteful number, since it uses less digits than its factorization.

16338240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 16338240 is about 4042.0588813128. The cubic root of 16338240 is about 253.7474912190.

The spelling of 16338240 in words is "sixteen million, three hundred thirty-eight thousand, two hundred forty".