13701408 has 48 divisors (see below), whose sum is σ = 41106240. Its totient is φ = 3914496.

The previous prime is 13701407. The next prime is 13701431. The reversal of 13701408 is 80410731.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-4 number, since 4×13701408⁴ (a number of 30 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (13701403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9523 + ... + 10866.

It is an arithmetic number, because the mean of its divisors is an integer number (856380).

Almost surely, 2^13701408 is an apocalyptic number.

It is an amenable number.

13701408 is an abundant number, since it is smaller than the sum of its proper divisors (27404832).

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

13701408 is a wasteful number, since it uses less digits than its factorization.

13701408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20409 (or 20401 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 13701408 is about 3701.5413005936. The cubic root of 13701408 is about 239.2884480312.

The spelling of 13701408 in words is "thirteen million, seven hundred one thousand, four hundred eight".