13024000 has 144 divisors (see below), whose sum is σ = 36350496. Its totient is φ = 4608000.

The previous prime is 13023991. The next prime is 13024007. The reversal of 13024000 is 42031.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13024007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 351982 + ... + 352018.

It is an arithmetic number, because the mean of its divisors is an integer number (252434).

Almost surely, 2^13024000 is an apocalyptic number.

13024000 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 13024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18175248).

13024000 is an abundant number, since it is smaller than the sum of its proper divisors (23326496).

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

13024000 is an equidigital number, since it uses as much as digits as its factorization.

13024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 13024000 is about 3608.8779419648. The cubic root of 13024000 is about 235.2780773379.

Adding to 13024000 its reverse (42031), we get a palindrome (13066031).

The spelling of 13024000 in words is "thirteen million, twenty-four thousand".