1027632 has 40 divisors (see below), whose sum is σ = 2698240. Its totient is φ = 336960.

The previous prime is 1027613. The next prime is 1027643. The reversal of 1027632 is 2367201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1027599 and 1027608.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3657 + ... + 3927.

It is an arithmetic number, because the mean of its divisors is an integer number (67456).

2^1027632 is an apocalyptic number.

1027632 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 1027632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349120).

1027632 is an abundant number, since it is smaller than the sum of its proper divisors (1670608).

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

1027632 is a wasteful number, since it uses less digits than its factorization.

1027632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 1027632 is about 1013.7218553430. The cubic root of 1027632 is about 100.9127109104.

The spelling of 1027632 in words is "one million, twenty-seven thousand, six hundred thirty-two".