11137680 has 120 divisors (see below), whose sum is σ = 38688000. Its totient is φ = 2868480.

The previous prime is 11137663. The next prime is 11137697. The reversal of 11137680 is 8673111.

It is an interprime number because it is at equal distance from previous prime (11137663) and next prime (11137697).

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22071 + ... + 22569.

It is an arithmetic number, because the mean of its divisors is an integer number (322400).

Almost surely, 2^11137680 is an apocalyptic number.

11137680 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 11137680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19344000).

11137680 is an abundant number, since it is smaller than the sum of its proper divisors (27550320).

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

11137680 is a wasteful number, since it uses less digits than its factorization.

11137680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 11137680 is about 3337.3162870786. The cubic root of 11137680 is about 223.3220360118.

The spelling of 11137680 in words is "eleven million, one hundred thirty-seven thousand, six hundred eighty".