16419120 has 120 divisors (see below), whose sum is σ = 53518896. Its totient is φ = 4161024.

The previous prime is 16419107. The next prime is 16419131. The reversal of 16419120 is 2191461.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 381819 + ... + 381861.

Almost surely, 2^16419120 is an apocalyptic number.

16419120 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 16419120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26759448).

16419120 is an abundant number, since it is smaller than the sum of its proper divisors (37099776).

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

16419120 is a wasteful number, since it uses less digits than its factorization.

16419120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 16419120 is about 4052.0513323501. The cubic root of 16419120 is about 254.1655151192.

The spelling of 16419120 in words is "sixteen million, four hundred nineteen thousand, one hundred twenty".