1052832 has 48 divisors (see below), whose sum is σ = 3017952. Its totient is φ = 318720.

The previous prime is 1052819. The next prime is 1052851. The reversal of 1052832 is 2382501.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1052832² = 2216910440448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1052799 and 1052808.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 558 + ... + 1554.

It is an arithmetic number, because the mean of its divisors is an integer number (62874).

2^1052832 is an apocalyptic number.

1052832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1052832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508976).

1052832 is an abundant number, since it is smaller than the sum of its proper divisors (1965120).

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

1052832 is a wasteful number, since it uses less digits than its factorization.

1052832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1052832 is about 1026.0760205755. The cubic root of 1052832 is about 101.7309325229.

The spelling of 1052832 in words is "one million, fifty-two thousand, eight hundred thirty-two".