13464000 has 336 divisors, whose sum is σ = 55632096. Its totient is φ = 3072000.

The previous prime is 13463999. The next prime is 13464023. The reversal of 13464000 is 46431.

It is a super-3 number, since 3×13464000³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 791992 + ... + 792008.

Almost surely, 2^13464000 is an apocalyptic number.

13464000 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 13464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27816048).

13464000 is an abundant number, since it is smaller than the sum of its proper divisors (42168096).

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

13464000 is a wasteful number, since it uses less digits than its factorization.

13464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 13464000 is about 3669.3323643410. The cubic root of 13464000 is about 237.8983159060.

Subtracting from 13464000 its reverse (46431), we obtain a square (13417569 = 3663²).

The spelling of 13464000 in words is "thirteen million, four hundred sixty-four thousand".