1290432 has 112 divisors (see below), whose sum is σ = 4096512. Its totient is φ = 353280.

The previous prime is 1290431. The next prime is 1290433. The reversal of 1290432 is 2340921.

It is an interprime number because it is at equal distance from previous prime (1290431) and next prime (1290433).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 1290399 and 1290408.

It is not an unprimeable number, because it can be changed into a prime (1290431) 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, 27433 + ... + 27479.

It is an arithmetic number, because the mean of its divisors is an integer number (36576).

2^1290432 is an apocalyptic number.

1290432 is a gapful number since it is divisible by the number (12) 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 1290432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2048256).

1290432 is an abundant number, since it is smaller than the sum of its proper divisors (2806080).

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

1290432 is a wasteful number, since it uses less digits than its factorization.

1290432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 1290432 is about 1135.9718306367. The cubic root of 1290432 is about 108.8708736605.

Multiplying 1290432 by its sum of digits (21), we get a palindrome (27099072).

The spelling of 1290432 in words is "one million, two hundred ninety thousand, four hundred thirty-two".