1632672 has 36 divisors (see below), whose sum is σ = 4643730. Its totient is φ = 544128.

The previous prime is 1632649. The next prime is 1632679. The reversal of 1632672 is 2762361.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1527696 + 104976 = 1236^2 + 324^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (1632679) 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, 2547 + ... + 3122.

2^1632672 is an apocalyptic number.

1632672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1632672 is an abundant number, since it is smaller than the sum of its proper divisors (3011058).

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

1632672 is a wasteful number, since it uses less digits than its factorization.

1632672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5685 (or 5674 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 1632672 is about 1277.7605409465. The cubic root of 1632672 is about 117.7514638681.

It can be divided in two parts, 1632 and 672, that added together give a square (2304 = 48²).

The spelling of 1632672 in words is "one million, six hundred thirty-two thousand, six hundred seventy-two".