1171680 has 48 divisors (see below), whose sum is σ = 3692304. Its totient is φ = 312320.

The previous prime is 1171669. The next prime is 1171699. The reversal of 1171680 is 861711.

It is a tau number, because it is divible by the number of its divisors (48).

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 1171680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 741 + ... + 1700.

It is an arithmetic number, because the mean of its divisors is an integer number (76923).

2^1171680 is an apocalyptic number.

1171680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1171680 is an abundant number, since it is smaller than the sum of its proper divisors (2520624).

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

1171680 is a wasteful number, since it uses less digits than its factorization.

1171680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2459 (or 2451 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 24.

The square root of 1171680 is about 1082.4416843415. The cubic root of 1171680 is about 105.4232350385.

The spelling of 1171680 in words is "one million, one hundred seventy-one thousand, six hundred eighty".