1633872 has 20 divisors (see below), whose sum is σ = 4220960. Its totient is φ = 544608.

The previous prime is 1633847. The next prime is 1633873. The reversal of 1633872 is 2783361.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1633873) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16972 + ... + 17067.

It is an arithmetic number, because the mean of its divisors is an integer number (211048).

2^1633872 is an apocalyptic number.

1633872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1633872 is an abundant number, since it is smaller than the sum of its proper divisors (2587088).

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

1633872 is a wasteful number, since it uses less digits than its factorization.

1633872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34050 (or 34044 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 1633872 is about 1278.2300262472. The cubic root of 1633872 is about 117.7803055771.

It can be divided in two parts, 163 and 3872, that multiplied together give a palindrome (631136).

The spelling of 1633872 in words is "one million, six hundred thirty-three thousand, eight hundred seventy-two".