12773520 has 120 divisors (see below), whose sum is σ = 43553016. Its totient is φ = 3354624.

The previous prime is 12773513. The next prime is 12773521. The reversal of 12773520 is 2537721.

It can be written as a sum of positive squares in 4 ways, for example, as 156816 + 12616704 = 396^2 + 3552^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12773521) 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, 81282 + ... + 81438.

Almost surely, 2^12773520 is an apocalyptic number.

12773520 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 12773520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21776508).

12773520 is an abundant number, since it is smaller than the sum of its proper divisors (30779496).

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

12773520 is a wasteful number, since it uses less digits than its factorization.

12773520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 12773520 is about 3574.0061555627. The cubic root of 12773520 is about 233.7599993816.

The spelling of 12773520 in words is "twelve million, seven hundred seventy-three thousand, five hundred twenty".