1167760 has 40 divisors (see below), whose sum is σ = 2964096. Its totient is φ = 424320.

The previous prime is 1167731. The next prime is 1167763. The reversal of 1167760 is 677611.

1167760 = T₂₅₄ + T₂₅₅ + ... + T₂₈₅.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1167763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 217 + ... + 1543.

2^1167760 is an apocalyptic number.

1167760 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 1167760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482048).

1167760 is an abundant number, since it is smaller than the sum of its proper divisors (1796336).

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

1167760 is a wasteful number, since it uses less digits than its factorization.

1167760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 28.

The square root of 1167760 is about 1080.6294462025. The cubic root of 1167760 is about 105.3055348674.

It can be divided in two parts, 1 and 167760, that added together give a palindrome (167761).

The spelling of 1167760 in words is "one million, one hundred sixty-seven thousand, seven hundred sixty".