12574016 has 112 divisors (see below), whose sum is σ = 32772096. Its totient is φ = 4644864.

The previous prime is 12573989. The next prime is 12574039. The reversal of 12574016 is 61047521.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98945 + ... + 99071.

It is an arithmetic number, because the mean of its divisors is an integer number (292608).

Almost surely, 2^12574016 is an apocalyptic number.

12574016 is a gapful number since it is divisible by the number (16) 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 12574016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16386048).

12574016 is an abundant number, since it is smaller than the sum of its proper divisors (20198080).

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

12574016 is a wasteful number, since it uses less digits than its factorization.

12574016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 12574016 is about 3545.9858995772. The cubic root of 12574016 is about 232.5366096434.

The spelling of 12574016 in words is "twelve million, five hundred seventy-four thousand, sixteen".