801632 has 48 divisors (see below), whose sum is σ = 1778112. Its totient is φ = 353280.

The previous prime is 801631. The next prime is 801641. The reversal of 801632 is 236108.

It is a super-2 number, since 2×801632² = 1285227726848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (801631) 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, 17033 + ... + 17079.

It is an arithmetic number, because the mean of its divisors is an integer number (37044).

2⁸⁰¹⁶³² is an apocalyptic number.

801632 is a gapful number since it is divisible by the number (82) 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 801632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889056).

801632 is an abundant number, since it is smaller than the sum of its proper divisors (976480).

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

801632 is a wasteful number, since it uses less digits than its factorization.

801632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 801632 is about 895.3390419277. The cubic root of 801632 is about 92.8948594036.

The spelling of 801632 in words is "eight hundred one thousand, six hundred thirty-two".