1488032 has 72 divisors (see below), whose sum is σ = 3720276. Its totient is φ = 580608.

The previous prime is 1488017. The next prime is 1488043. The reversal of 1488032 is 2308841.

It can be written as a sum of positive squares in 2 ways, for example, as 1449616 + 38416 = 1204^2 + 196^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 1487992 and 1488010.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20348 + ... + 20420.

2^1488032 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 1488032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1860138).

1488032 is an abundant number, since it is smaller than the sum of its proper divisors (2232244).

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

1488032 is a wasteful number, since it uses less digits than its factorization.

1488032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 1488032 is about 1219.8491710044. The cubic root of 1488032 is about 114.1661678514.

It can be divided in two parts, 148803 and 2, that multiplied together give a triangular number (297606 = T₇₇₁).

The spelling of 1488032 in words is "one million, four hundred eighty-eight thousand, thirty-two".