16123520 has 128 divisors (see below), whose sum is σ = 45532800. Its totient is φ = 5345280.

The previous prime is 16123519. The next prime is 16123543. The reversal of 16123520 is 2532161.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 16123492 and 16123501.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 264290 + ... + 264350.

It is an arithmetic number, because the mean of its divisors is an integer number (355725).

Almost surely, 2^16123520 is an apocalyptic number.

16123520 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 16123520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22766400).

16123520 is an abundant number, since it is smaller than the sum of its proper divisors (29409280).

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

16123520 is an equidigital number, since it uses as much as digits as its factorization.

16123520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 16123520 is about 4015.4103152729. The cubic root of 16123520 is about 252.6309878154.

Adding to 16123520 its reverse (2532161), we get a palindrome (18655681).

The spelling of 16123520 in words is "sixteen million, one hundred twenty-three thousand, five hundred twenty".