13656096 has 36 divisors (see below), whose sum is σ = 38835342. Its totient is φ = 4551936.

The previous prime is 13656077. The next prime is 13656103. The reversal of 13656096 is 69065631.

13656096 is a `hidden beast` number, since 1 + 3 + 6 + 560 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13220496 + 435600 = 3636^2 + 660^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×13656096³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 13656096.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23421 + ... + 23996.

Almost surely, 2^13656096 is an apocalyptic number.

13656096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13656096 is an abundant number, since it is smaller than the sum of its proper divisors (25179246).

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

13656096 is a wasteful number, since it uses less digits than its factorization.

13656096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47433 (or 47422 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 13656096 is about 3695.4155382041. The cubic root of 13656096 is about 239.0243726713.

It can be divided in two parts, 136560 and 96, that multiplied together give a triangular number (13109760 = T₅₁₂₀).

The spelling of 13656096 in words is "thirteen million, six hundred fifty-six thousand, ninety-six".