12920832 has 72 divisors (see below), whose sum is σ = 37370970. Its totient is φ = 4300800.

The previous prime is 12920827. The next prime is 12920839. The reversal of 12920832 is 23802921.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 8856576 + 4064256 = 2976^2 + 2016^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 12920796 and 12920805.

It is not an unprimeable number, because it can be changed into a prime (12920839) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18082 + ... + 18782.

Almost surely, 2^12920832 is an apocalyptic number.

12920832 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 12920832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18685485).

12920832 is an abundant number, since it is smaller than the sum of its proper divisors (24450138).

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

12920832 is an equidigital number, since it uses as much as digits as its factorization.

12920832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 12920832 is about 3594.5558835550. Note that the first 3 decimals coincide. The cubic root of 12920832 is about 234.6551876846.

The spelling of 12920832 in words is "twelve million, nine hundred twenty thousand, eight hundred thirty-two".