1633164 has 72 divisors (see below), whose sum is σ = 4480560. Its totient is φ = 459648.

The previous prime is 1633157. The next prime is 1633169. The reversal of 1633164 is 4613361.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1633169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56302 + ... + 56330.

It is an arithmetic number, because the mean of its divisors is an integer number (62230).

2^1633164 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 1633164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2240280).

1633164 is an abundant number, since it is smaller than the sum of its proper divisors (2847396).

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

1633164 is a wasteful number, since it uses less digits than its factorization.

1633164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 66 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The square root of 1633164 is about 1277.9530507808. The cubic root of 1633164 is about 117.7632906775.

The spelling of 1633164 in words is "one million, six hundred thirty-three thousand, one hundred sixty-four".