1009632 has 48 divisors (see below), whose sum is σ = 2857680. Its totient is φ = 310272.

The previous prime is 1009627. The next prime is 1009637. The reversal of 1009632 is 2369001.

It is an interprime number because it is at equal distance from previous prime (1009627) and next prime (1009637).

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

It is a junction number, because it is equal to n+sod(n) for n = 1009599 and 1009608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009637) 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, 844 + ... + 1652.

It is an arithmetic number, because the mean of its divisors is an integer number (59535).

2^1009632 is an apocalyptic number.

1009632 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 1009632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428840).

1009632 is an abundant number, since it is smaller than the sum of its proper divisors (1848048).

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

1009632 is a wasteful number, since it uses less digits than its factorization.

1009632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 1009632 is about 1004.8044585888. The cubic root of 1009632 is about 100.3200413096.

The spelling of 1009632 in words is "one million, nine thousand, six hundred thirty-two".