1009952 has 24 divisors (see below), whose sum is σ = 2044476. Its totient is φ = 490752.

The previous prime is 1009951. The next prime is 1009963. The reversal of 1009952 is 2599001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1008016 + 1936 = 1004^2 + 44^2 .

It is not an unprimeable number, because it can be changed into a prime (1009951) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 758 + ... + 1610.

2^1009952 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 1009952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022238).

1009952 is an abundant number, since it is smaller than the sum of its proper divisors (1034524).

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

1009952 is an equidigital number, since it uses as much as digits as its factorization.

1009952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 26.

The square root of 1009952 is about 1004.9636809358. The cubic root of 1009952 is about 100.3306389076.

The spelling of 1009952 in words is "one million, nine thousand, nine hundred fifty-two".