11567640 has 128 divisors (see below), whose sum is σ = 40642560. Its totient is φ = 2578944.

The previous prime is 11567639. The next prime is 11567641. The reversal of 11567640 is 4676511.

It is an interprime number because it is at equal distance from previous prime (11567639) and next prime (11567641).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11567598 and 11567607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11567641) 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, 39334 + ... + 39626.

It is an arithmetic number, because the mean of its divisors is an integer number (317520).

Almost surely, 2^11567640 is an apocalyptic number.

11567640 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 11567640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20321280).

11567640 is an abundant number, since it is smaller than the sum of its proper divisors (29074920).

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

11567640 is a wasteful number, since it uses less digits than its factorization.

11567640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 11567640 is about 3401.1233438380. The cubic root of 11567640 is about 226.1595448466.

The spelling of 11567640 in words is "eleven million, five hundred sixty-seven thousand, six hundred forty".