12954816 has 252 divisors, whose sum is σ = 47429928. Its totient is φ = 3483648.

The previous prime is 12954797. The next prime is 12954817. The reversal of 12954816 is 61845921.

12954816 = 63³ + 64³ + ... + 90³.

It is a tau number, because it is divible by the number of its divisors (252).

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

It is not an unprimeable number, because it can be changed into a prime (12954817) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 762040 + ... + 762056.

It is an arithmetic number, because the mean of its divisors is an integer number (188214).

Almost surely, 2^12954816 is an apocalyptic number.

12954816 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 12954816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23714964).

12954816 is an abundant number, since it is smaller than the sum of its proper divisors (34475112).

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

12954816 is an equidigital number, since it uses as much as digits as its factorization.

12954816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 29 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 12954816 is about 3599.2799279856. The cubic root of 12954816 is about 234.8607353522.

It can be divided in two parts, 129 and 54816, that added together give a palindrome (54945).

The spelling of 12954816 in words is "twelve million, nine hundred fifty-four thousand, eight hundred sixteen".