13419120 has 320 divisors, whose sum is σ = 53996544. Its totient is φ = 2703360.

The previous prime is 13419113. The next prime is 13419127. The reversal of 13419120 is 2191431.

It is an interprime number because it is at equal distance from previous prime (13419113) and next prime (13419127).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13419127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 583429 + ... + 583451.

Almost surely, 2^13419120 is an apocalyptic number.

13419120 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 13419120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26998272).

13419120 is an abundant number, since it is smaller than the sum of its proper divisors (40577424).

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

13419120 is a wasteful number, since it uses less digits than its factorization.

13419120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 13419120 is about 3663.2117055939. The cubic root of 13419120 is about 237.6336901972.

The spelling of 13419120 in words is "thirteen million, four hundred nineteen thousand, one hundred twenty".