80632000 has 56 divisors (see below), whose sum is σ = 199704960. Its totient is φ = 32249600.

The previous prime is 80631973. The next prime is 80632007. The reversal of 80632000 is 23608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80632007) 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 7 ways as a sum of consecutive naturals, for example, 2961 + ... + 13039.

It is an arithmetic number, because the mean of its divisors is an integer number (3566160).

Almost surely, 2^80632000 is an apocalyptic number.

80632000 is a gapful number since it is divisible by the number (80) 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 80632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99852480).

80632000 is an abundant number, since it is smaller than the sum of its proper divisors (119072960).

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

80632000 is a wasteful number, since it uses less digits than its factorization.

80632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10106 (or 10086 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 80632000 is about 8979.5322818062. The cubic root of 80632000 is about 432.0186320268.

Adding to 80632000 its reverse (23608), we get a palindrome (80655608).

The spelling of 80632000 in words is "eighty million, six hundred thirty-two thousand".