16000824 has 128 divisors (see below), whose sum is σ = 49351680. Its totient is φ = 4224000.

The previous prime is 16000819. The next prime is 16000841. The reversal of 16000824 is 42800061.

16000824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 16000824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158374 + ... + 158474.

It is an arithmetic number, because the mean of its divisors is an integer number (385560).

Almost surely, 2^16000824 is an apocalyptic number.

16000824 is a gapful number since it is divisible by the number (14) 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 16000824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24675840).

16000824 is an abundant number, since it is smaller than the sum of its proper divisors (33350856).

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

16000824 is a wasteful number, since it uses less digits than its factorization.

16000824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 16000824 is about 4000.1029986739. The cubic root of 16000824 is about 251.9885356337.

Adding to 16000824 its reverse (42800061), we get a palindrome (58800885).

The spelling of 16000824 in words is "sixteen million, eight hundred twenty-four", and thus it is an aban number.