13735296 has 48 divisors (see below), whose sum is σ = 39528060. Its totient is φ = 4578048.

The previous prime is 13735291. The next prime is 13735307. The reversal of 13735296 is 69253731.

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

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 13735296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13735291) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4810 + ... + 7113.

Almost surely, 2^13735296 is an apocalyptic number.

13735296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13735296 is an abundant number, since it is smaller than the sum of its proper divisors (25792764).

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

13735296 is a wasteful number, since it uses less digits than its factorization.

13735296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11943 (or 11928 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 13735296 is about 3706.1160262463. The cubic root of 13735296 is about 239.4855647728.

The spelling of 13735296 in words is "thirteen million, seven hundred thirty-five thousand, two hundred ninety-six".