11697840 has 240 divisors, whose sum is σ = 49211136. Its totient is φ = 2419200.

The previous prime is 11697839. The next prime is 11697857. The reversal of 11697840 is 4879611.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 11697795 and 11697804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55335 + ... + 55545.

Almost surely, 2^11697840 is an apocalyptic number.

11697840 is a gapful number since it is divisible by the number (10) 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 11697840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24605568).

11697840 is an abundant number, since it is smaller than the sum of its proper divisors (37513296).

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

11697840 is a wasteful number, since it uses less digits than its factorization.

11697840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 11697840 is about 3420.2105198365. The cubic root of 11697840 is about 227.0048968133.

It can be divided in two parts, 1169 and 7840, that added together give a palindrome (9009).

The spelling of 11697840 in words is "eleven million, six hundred ninety-seven thousand, eight hundred forty".