1164960 has 72 divisors (see below), whose sum is σ = 3980340. Its totient is φ = 310272.

The previous prime is 1164953. The next prime is 1164967. The reversal of 1164960 is 694611.

1164960 is a `hidden beast` number, since 11 + 649 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1164953) and next prime (1164967).

It can be written as a sum of positive squares in 2 ways, for example, as 1140624 + 24336 = 1068^2 + 156^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1164967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1036 + ... + 1844.

2^1164960 is an apocalyptic number.

1164960 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 1164960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1990170).

1164960 is an abundant number, since it is smaller than the sum of its proper divisors (2815380).

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

1164960 is a wasteful number, since it uses less digits than its factorization.

1164960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1164960 is about 1079.3331274449. Note that the first 3 decimals coincide. The cubic root of 1164960 is about 105.2213019555.

The spelling of 1164960 in words is "one million, one hundred sixty-four thousand, nine hundred sixty".