1958432 has 36 divisors (see below), whose sum is σ = 4488750. Its totient is φ = 838656.

The previous prime is 1958431. The next prime is 1958449. The reversal of 1958432 is 2348591.

It can be written as a sum of positive squares in only one way, i.e., 1731856 + 226576 = 1316^2 + 476^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (1958431) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 944 + ... + 2192.

2^1958432 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 1958432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2244375).

1958432 is an abundant number, since it is smaller than the sum of its proper divisors (2530318).

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

1958432 is a wasteful number, since it uses less digits than its factorization.

1958432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273 (or 1258 counting only the distinct ones).

The product of its digits is 8640, while the sum is 32.

The square root of 1958432 is about 1399.4398879552. The cubic root of 1958432 is about 125.1131136116.

The spelling of 1958432 in words is "one million, nine hundred fifty-eight thousand, four hundred thirty-two".