1829664 has 36 divisors (see below), whose sum is σ = 5203926. Its totient is φ = 609792.

The previous prime is 1829647. The next prime is 1829671. The reversal of 1829664 is 4669281.

It can be written as a sum of positive squares in only one way, i.e., 1587600 + 242064 = 1260^2 + 492^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 2889 + ... + 3464.

2^1829664 is an apocalyptic number.

It is an amenable number.

1829664 is an abundant number, since it is smaller than the sum of its proper divisors (3374262).

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

1829664 is a wasteful number, since it uses less digits than its factorization.

1829664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6369 (or 6358 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 1829664 is about 1352.6507309723. The cubic root of 1829664 is about 122.3086335972.

The spelling of 1829664 in words is "one million, eight hundred twenty-nine thousand, six hundred sixty-four".