1292544 has 144 divisors (see below), whose sum is σ = 4415040. Its totient is φ = 368640.

The previous prime is 1292539. The next prime is 1292549. The reversal of 1292544 is 4452921.

It is an interprime number because it is at equal distance from previous prime (1292539) and next prime (1292549).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1292549) 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, 76024 + ... + 76040.

It is an arithmetic number, because the mean of its divisors is an integer number (30660).

2^1292544 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 1292544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2207520).

1292544 is an abundant number, since it is smaller than the sum of its proper divisors (3122496).

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

1292544 is a wasteful number, since it uses less digits than its factorization.

1292544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 33 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 1292544 is about 1136.9010511034. The cubic root of 1292544 is about 108.9302361988.

The spelling of 1292544 in words is "one million, two hundred ninety-two thousand, five hundred forty-four".