1141296 has 80 divisors (see below), whose sum is σ = 3333120. Its totient is φ = 334080.

The previous prime is 1141291. The next prime is 1141303. The reversal of 1141296 is 6921411.

It is a Harshad number since it is a multiple of its sum of digits (24).

Its product of digits (432) is a multiple of the sum of its prime divisors (108).

It is not an unprimeable number, because it can be changed into a prime (1141291) 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, 19315 + ... + 19373.

It is an arithmetic number, because the mean of its divisors is an integer number (41664).

2^1141296 is an apocalyptic number.

1141296 is a gapful number since it is divisible by the number (16) 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 1141296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666560).

1141296 is an abundant number, since it is smaller than the sum of its proper divisors (2191824).

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

1141296 is a wasteful number, since it uses less digits than its factorization.

1141296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 108 counting only the distinct ones).

The product of its digits is 432, while the sum is 24.

The square root of 1141296 is about 1068.3145604175. The cubic root of 1141296 is about 104.5039641972.

The spelling of 1141296 in words is "one million, one hundred forty-one thousand, two hundred ninety-six".