1135680 has 168 divisors, whose sum is σ = 4462272. Its totient is φ = 239616.

The previous prime is 1135663. The next prime is 1135699. The reversal of 1135680 is 865311.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1135680.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87354 + ... + 87366.

2^1135680 is an apocalyptic number.

1135680 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 1135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2231136).

1135680 is an abundant number, since it is smaller than the sum of its proper divisors (3326592).

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

1135680 is a wasteful number, since it uses less digits than its factorization.

1135680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 1135680 is about 1065.6828796598. The cubic root of 1135680 is about 104.3322706281.

The spelling of 1135680 in words is "one million, one hundred thirty-five thousand, six hundred eighty".