13493376 has 192 divisors, whose sum is σ = 45110520. Its totient is φ = 3833856.

The previous prime is 13493353. The next prime is 13493377. The reversal of 13493376 is 67339431.

It can be written as a sum of positive squares in 4 ways, for example, as 12110400 + 1382976 = 3480^2 + 1176^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a self number, because there is not a number n which added to its sum of digits gives 13493376.

It is not an unprimeable number, because it can be changed into a prime (13493377) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 254566 + ... + 254618.

Almost surely, 2^13493376 is an apocalyptic number.

13493376 is a gapful number since it is divisible by the number (16) 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 13493376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22555260).

13493376 is an abundant number, since it is smaller than the sum of its proper divisors (31617144).

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

13493376 is a wasteful number, since it uses less digits than its factorization.

13493376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 88 counting only the distinct ones).

The product of its digits is 40824, while the sum is 36.

The square root of 13493376 is about 3673.3330913491. Note that the first 3 decimals coincide. The cubic root of 13493376 is about 238.0712071848.

The spelling of 13493376 in words is "thirteen million, four hundred ninety-three thousand, three hundred seventy-six".