1155440 has 80 divisors (see below), whose sum is σ = 3187296. Its totient is φ = 384000.

The previous prime is 1155437. The next prime is 1155449. The reversal of 1155440 is 445511.

1155440 = 100² + 101² + ... + 164².

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1155449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11390 + ... + 11490.

2^1155440 is an apocalyptic number.

1155440 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 1155440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1593648).

1155440 is an abundant number, since it is smaller than the sum of its proper divisors (2031856).

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

1155440 is a wasteful number, since it uses less digits than its factorization.

1155440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 1155440 is about 1074.9139500444. The cubic root of 1155440 is about 104.9338964123.

It can be divided in two parts, 115 and 5440, that added together give a palindrome (5555).

The spelling of 1155440 in words is "one million, one hundred fifty-five thousand, four hundred forty".