12574320 has 120 divisors (see below), whose sum is σ = 42945168. Its totient is φ = 3041280.

The previous prime is 12574291. The next prime is 12574321. The reversal of 12574320 is 2347521.

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

It is a super-2 number, since 2×12574320² = 316227046924800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12574321) 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, 28824 + ... + 29256.

Almost surely, 2^12574320 is an apocalyptic number.

12574320 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 12574320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21472584).

12574320 is an abundant number, since it is smaller than the sum of its proper divisors (30370848).

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

12574320 is a wasteful number, since it uses less digits than its factorization.

12574320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 12574320 is about 3546.0287646887. The cubic root of 12574320 is about 232.5384836286.

The spelling of 12574320 in words is "twelve million, five hundred seventy-four thousand, three hundred twenty".