1161504 has 72 divisors (see below), whose sum is σ = 3423420. Its totient is φ = 373248.

The previous prime is 1161499. The next prime is 1161509. The reversal of 1161504 is 4051611.

1161504 is a `hidden beast` number, since 1 + 161 + 504 = 666.

It is an interprime number because it is at equal distance from previous prime (1161499) and next prime (1161509).

It can be written as a sum of positive squares in 2 ways, for example, as 1040400 + 121104 = 1020^2 + 348^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1161509) 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, 10602 + ... + 10710.

2^1161504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1161504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1711710).

1161504 is an abundant number, since it is smaller than the sum of its proper divisors (2261916).

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

1161504 is a wasteful number, since it uses less digits than its factorization.

1161504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1161504 is about 1077.7309497272. The cubic root of 1161504 is about 105.1171481611.

The spelling of 1161504 in words is "one million, one hundred sixty-one thousand, five hundred four".