1293152 has 48 divisors (see below), whose sum is σ = 3048192. Its totient is φ = 528000.

The previous prime is 1293137. The next prime is 1293157. The reversal of 1293152 is 2513921.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1293157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5027 + ... + 5277.

It is an arithmetic number, because the mean of its divisors is an integer number (63504).

2^1293152 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 1293152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524096).

1293152 is an abundant number, since it is smaller than the sum of its proper divisors (1755040).

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

1293152 is a wasteful number, since it uses less digits than its factorization.

1293152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 283 counting only the distinct ones).

The product of its digits is 540, while the sum is 23.

The square root of 1293152 is about 1137.1684132089. The cubic root of 1293152 is about 108.9473134258.

The spelling of 1293152 in words is "one million, two hundred ninety-three thousand, one hundred fifty-two".