1642032 has 100 divisors (see below), whose sum is σ = 5461456. Its totient is φ = 466560.

The previous prime is 1642031. The next prime is 1642033. The reversal of 1642032 is 2302461.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1642031) and next prime (1642033).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 1641996 and 1642014.

It is not an unprimeable number, because it can be changed into a prime (1642031) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8982 + ... + 9162.

2^1642032 is an apocalyptic number.

1642032 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 1642032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2730728).

1642032 is an abundant number, since it is smaller than the sum of its proper divisors (3819424).

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

1642032 is a wasteful number, since it uses less digits than its factorization.

1642032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1642032 is about 1281.4179646002. The cubic root of 1642032 is about 117.9760556606.

Adding to 1642032 its reverse (2302461), we get a palindrome (3944493).

The spelling of 1642032 in words is "one million, six hundred forty-two thousand, thirty-two".