1052000 has 48 divisors (see below), whose sum is σ = 2594592. Its totient is φ = 419200.

The previous prime is 1051991. The next prime is 1052027. The reversal of 1052000 is 2501.

It is a super-2 number, since 2×1052000² = 2213408000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

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, 3869 + ... + 4131.

It is an arithmetic number, because the mean of its divisors is an integer number (54054).

2^1052000 is an apocalyptic number.

1052000 is a gapful number since it is divisible by the number (10) 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 1052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297296).

1052000 is an abundant number, since it is smaller than the sum of its proper divisors (1542592).

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

1052000 is an equidigital number, since it uses as much as digits as its factorization.

1052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 8.

The square root of 1052000 is about 1025.6705123966. The cubic root of 1052000 is about 101.7041278534.

Adding to 1052000 its reverse (2501), we get a palindrome (1054501).

The spelling of 1052000 in words is "one million, fifty-two thousand".