13264000 has 64 divisors (see below), whose sum is σ = 33017400. Its totient is φ = 5299200.

The previous prime is 13263997. The next prime is 13264003. The reversal of 13264000 is 46231.

It is an interprime number because it is at equal distance from previous prime (13263997) and next prime (13264003).

It can be written as a sum of positive squares in 4 ways, for example, as 4359744 + 8904256 = 2088^2 + 2984^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (13264003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15586 + ... + 16414.

Almost surely, 2^13264000 is an apocalyptic number.

13264000 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 13264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16508700).

13264000 is an abundant number, since it is smaller than the sum of its proper divisors (19753400).

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

13264000 is an frugal number, since it uses more digits than its factorization.

13264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 13264000 is about 3641.9774848288. The cubic root of 13264000 is about 236.7144870196.

The spelling of 13264000 in words is "thirteen million, two hundred sixty-four thousand".