12890592 has 144 divisors (see below), whose sum is σ = 43203888. Its totient is φ = 3594240.

The previous prime is 12890567. The next prime is 12890597. The reversal of 12890592 is 29509821.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×12890592² = 332334724220928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12890597) 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, 41028 + ... + 41340.

It is an arithmetic number, because the mean of its divisors is an integer number (300027).

Almost surely, 2^12890592 is an apocalyptic number.

12890592 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 12890592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21601944).

12890592 is an abundant number, since it is smaller than the sum of its proper divisors (30313296).

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

12890592 is a wasteful number, since it uses less digits than its factorization.

12890592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 12890592 is about 3590.3470584332. The cubic root of 12890592 is about 234.4719818378.

The spelling of 12890592 in words is "twelve million, eight hundred ninety thousand, five hundred ninety-two".