16409120 has 192 divisors, whose sum is σ = 50803200. Its totient is φ = 4967424.

The previous prime is 16409119. The next prime is 16409123. The reversal of 16409120 is 2190461.

It is a happy number.

It is a hoax number, since the sum of its digits (23) 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 (23).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16409123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 713429 + ... + 713451.

It is an arithmetic number, because the mean of its divisors is an integer number (264600).

Almost surely, 2^16409120 is an apocalyptic number.

16409120 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 16409120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25401600).

16409120 is an abundant number, since it is smaller than the sum of its proper divisors (34394080).

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

16409120 is a wasteful number, since it uses less digits than its factorization.

16409120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 50 counting only the distinct ones).

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

The square root of 16409120 is about 4050.8172015039. The cubic root of 16409120 is about 254.1139051400.

Adding to 16409120 its reverse (2190461), we get a palindrome (18599581).

The spelling of 16409120 in words is "sixteen million, four hundred nine thousand, one hundred twenty".