16240416 has 48 divisors (see below), whose sum is σ = 42928704. Its totient is φ = 5375744.

The previous prime is 16240403. The next prime is 16240417. The reversal of 16240416 is 61404261.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×16240416³ (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (24) 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 (24).

It is not an unprimeable number, because it can be changed into a prime (16240417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15526 + ... + 16538.

It is an arithmetic number, because the mean of its divisors is an integer number (894348).

Almost surely, 2^16240416 is an apocalyptic number.

16240416 is a gapful number since it is divisible by the number (16) 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 16240416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21464352).

16240416 is an abundant number, since it is smaller than the sum of its proper divisors (26688288).

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

16240416 is a wasteful number, since it uses less digits than its factorization.

16240416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193 (or 1185 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 16240416 is about 4029.9399499248. The cubic root of 16240416 is about 253.2400456765.

Adding to 16240416 its reverse (61404261), we get a palindrome (77644677).

The spelling of 16240416 in words is "sixteen million, two hundred forty thousand, four hundred sixteen".