13697376 has 192 divisors, whose sum is σ = 47900160. Its totient is φ = 3317760.

The previous prime is 13697357. The next prime is 13697377. The reversal of 13697376 is 67379631.

13697376 = T₁₅₃ + T₁₅₄ + ... + T₄₄₀.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13697377) 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 31 ways as a sum of consecutive naturals, for example, 125610 + ... + 125718.

It is an arithmetic number, because the mean of its divisors is an integer number (249480).

Almost surely, 2^13697376 is an apocalyptic number.

13697376 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 13697376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23950080).

13697376 is an abundant number, since it is smaller than the sum of its proper divisors (34202784).

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

13697376 is a wasteful number, since it uses less digits than its factorization.

13697376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 149 counting only the distinct ones).

The product of its digits is 142884, while the sum is 42.

The square root of 13697376 is about 3700.9966225329. The cubic root of 13697376 is about 239.2649734200.

The spelling of 13697376 in words is "thirteen million, six hundred ninety-seven thousand, three hundred seventy-six".