1151440 has 40 divisors (see below), whose sum is σ = 2756520. Its totient is φ = 446976.

The previous prime is 1151431. The next prime is 1151441. The reversal of 1151440 is 441511.

It can be written as a sum of positive squares in 4 ways, for example, as 183184 + 968256 = 428^2 + 984^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1151441) 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, 2766 + ... + 3154.

It is an arithmetic number, because the mean of its divisors is an integer number (68913).

2^1151440 is an apocalyptic number.

1151440 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 1151440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378260).

1151440 is an abundant number, since it is smaller than the sum of its proper divisors (1605080).

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

1151440 is a wasteful number, since it uses less digits than its factorization.

1151440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 1151440 is about 1073.0517228913. The cubic root of 1151440 is about 104.8126667284.

Adding to 1151440 its reverse (441511), we get a palindrome (1592951).

It can be divided in two parts, 115 and 1440, that multiplied together give a triangular number (165600 = T₅₇₅).

The spelling of 1151440 in words is "one million, one hundred fifty-one thousand, four hundred forty".