16000416 has 60 divisors (see below), whose sum is σ = 47064402. Its totient is φ = 5332608.

The previous prime is 16000409. The next prime is 16000447. The reversal of 16000416 is 61400061.

It can be written as a sum of positive squares in only one way, i.e., 15968016 + 32400 = 3996^2 + 180^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 495 + ... + 5678.

Almost surely, 2^16000416 is an apocalyptic number.

16000416 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 16000416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23532201).

16000416 is an abundant number, since it is smaller than the sum of its proper divisors (31063986).

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

16000416 is an equidigital number, since it uses as much as digits as its factorization.

16000416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6195 (or 6178 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 16000416 is about 4000.0519996620. The cubic root of 16000416 is about 251.9863938232.

Adding to 16000416 its reverse (61400061), we get a palindrome (77400477).

The spelling of 16000416 in words is "sixteen million, four hundred sixteen", and thus it is an aban number.