1029952 has 84 divisors (see below), whose sum is σ = 2702560. Its totient is φ = 380160.

The previous prime is 1029943. The next prime is 1029953. The reversal of 1029952 is 2599201.

It is a super-2 number, since 2×1029952² = 2121602244608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 1029952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1029953) 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 11 ways as a sum of consecutive naturals, for example, 54199 + ... + 54217.

2^1029952 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 1029952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351280).

1029952 is an abundant number, since it is smaller than the sum of its proper divisors (1672608).

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

1029952 is a wasteful number, since it uses less digits than its factorization.

1029952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 28.

The square root of 1029952 is about 1014.8655083310. The cubic root of 1029952 is about 100.9885946014.

The spelling of 1029952 in words is "one million, twenty-nine thousand, nine hundred fifty-two".