13074432 has 128 divisors (see below), whose sum is σ = 41942400. Its totient is φ = 3538944.

The previous prime is 13074427. The next prime is 13074433. The reversal of 13074432 is 23447031.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13074433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 688119 + ... + 688137.

It is an arithmetic number, because the mean of its divisors is an integer number (327675).

Almost surely, 2^13074432 is an apocalyptic number.

13074432 is a gapful number since it is divisible by the number (12) 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 13074432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20971200).

13074432 is an abundant number, since it is smaller than the sum of its proper divisors (28867968).

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

13074432 is an frugal number, since it uses more digits than its factorization.

13074432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 13074432 is about 3615.8584043073. The cubic root of 13074432 is about 235.5813702705.

The spelling of 13074432 in words is "thirteen million, seventy-four thousand, four hundred thirty-two".