16129040 has 40 divisors (see below), whose sum is σ = 38520600. Its totient is φ = 6276096.

The previous prime is 16128989. The next prime is 16129067. The reversal of 16129040 is 4092161.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1597696 + 14531344 = 1264^2 + 3812^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 16128997 and 16129015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 236 + ... + 5684.

It is an arithmetic number, because the mean of its divisors is an integer number (963015).

Almost surely, 2^16129040 is an apocalyptic number.

16129040 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 16129040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19260300).

16129040 is an abundant number, since it is smaller than the sum of its proper divisors (22391560).

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

16129040 is a wasteful number, since it uses less digits than its factorization.

16129040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5499 (or 5493 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 16129040 is about 4016.0976083756. The cubic root of 16129040 is about 252.6598145220.

It can be divided in two parts, 161290 and 40, that multiplied together give a square (6451600 = 2540²).

The spelling of 16129040 in words is "sixteen million, one hundred twenty-nine thousand, forty".