1147296 has 96 divisors (see below), whose sum is σ = 3447360. Its totient is φ = 331776.

The previous prime is 1147273. The next prime is 1147297. The reversal of 1147296 is 6927411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1147296² = 2632576223232, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1147297) 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, 30990 + ... + 31026.

It is an arithmetic number, because the mean of its divisors is an integer number (35910).

2^1147296 is an apocalyptic number.

1147296 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 1147296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723680).

1147296 is an abundant number, since it is smaller than the sum of its proper divisors (2300064).

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

1147296 is a wasteful number, since it uses less digits than its factorization.

1147296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 78 counting only the distinct ones).

The product of its digits is 3024, while the sum is 30.

The square root of 1147296 is about 1071.1190410034. The cubic root of 1147296 is about 104.6867763075.

It can be divided in two parts, 114 and 7296, that multiplied together give a square (831744 = 912²).

The spelling of 1147296 in words is "one million, one hundred forty-seven thousand, two hundred ninety-six".