1829872 has 40 divisors (see below), whose sum is σ = 3986352. Its totient is φ = 806400.

The previous prime is 1829843. The next prime is 1829873. The reversal of 1829872 is 2789281.

It is a super-3 number, since 3×1829872³ = 18381603337038188544, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1829873) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6372 + ... + 6652.

2^1829872 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 1829872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1993176).

1829872 is an abundant number, since it is smaller than the sum of its proper divisors (2156480).

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

1829872 is a wasteful number, since it uses less digits than its factorization.

1829872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 331 counting only the distinct ones).

The product of its digits is 16128, while the sum is 37.

The square root of 1829872 is about 1352.7276148582. The cubic root of 1829872 is about 122.3132681880.

It can be divided in two parts, 1829 and 872, that added together give a triangular number (2701 = T₇₃).

The spelling of 1829872 in words is "one million, eight hundred twenty-nine thousand, eight hundred seventy-two".