13483008 has 264 divisors, whose sum is σ = 51093120. Its totient is φ = 3317760.

The previous prime is 13482983. The next prime is 13483039. The reversal of 13483008 is 80038431.

It is a tau number, because it is divible by the number of its divisors (264).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 709623 + ... + 709641.

Almost surely, 2^13483008 is an apocalyptic number.

13483008 is a gapful number since it is divisible by the number (18) 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 13483008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25546560).

13483008 is an abundant number, since it is smaller than the sum of its proper divisors (37610112).

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

13483008 is a wasteful number, since it uses less digits than its factorization.

13483008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 13483008 is about 3671.9215677898. The cubic root of 13483008 is about 238.0102154126.

It can be divided in two parts, 1348 and 3008, that added together give a square (4356 = 66²).

The spelling of 13483008 in words is "thirteen million, four hundred eighty-three thousand, eight".