13457808 has 180 divisors, whose sum is σ = 47199360. Its totient is φ = 3504384.

The previous prime is 13457767. The next prime is 13457831. The reversal of 13457808 is 80875431.

It is a super-2 number, since 2×13457808² = 362225192329728, which contains 22 as substring.

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

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 35 ways as a sum of consecutive naturals, for example, 170313 + ... + 170391.

Almost surely, 2^13457808 is an apocalyptic number.

13457808 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 13457808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23599680).

13457808 is an abundant number, since it is smaller than the sum of its proper divisors (33741552).

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

13457808 is a wasteful number, since it uses less digits than its factorization.

13457808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 13457808 is about 3668.4885170871. The cubic root of 13457808 is about 237.8618410534.

The spelling of 13457808 in words is "thirteen million, four hundred fifty-seven thousand, eight hundred eight".