10419120 has 120 divisors (see below), whose sum is σ = 36270000. Its totient is φ = 2677248.

The previous prime is 10419109. The next prime is 10419121. The reversal of 10419120 is 2191401.

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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 10419093 and 10419102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10419121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20631 + ... + 21129.

It is an arithmetic number, because the mean of its divisors is an integer number (302250).

Almost surely, 2^10419120 is an apocalyptic number.

10419120 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 10419120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18135000).

10419120 is an abundant number, since it is smaller than the sum of its proper divisors (25850880).

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

10419120 is a wasteful number, since it uses less digits than its factorization.

10419120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 10419120 is about 3227.8661682294. The cubic root of 10419120 is about 218.4122603108.

The spelling of 10419120 in words is "ten million, four hundred nineteen thousand, one hundred twenty".