32320000 has 100 divisors (see below), whose sum is σ = 81494226. Its totient is φ = 12800000.

The previous prime is 32319997. The next prime is 32320003. The reversal of 32320000 is 2323.

It is an interprime number because it is at equal distance from previous prime (32319997) and next prime (32320003).

It can be written as a sum of positive squares in 5 ways, for example, as 4946176 + 27373824 = 2224^2 + 5232^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (32320003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 319950 + ... + 320050.

Almost surely, 2^32320000 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 32320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40747113).

32320000 is an abundant number, since it is smaller than the sum of its proper divisors (49174226).

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

32320000 is an frugal number, since it uses more digits than its factorization.

32320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

The square root of 32320000 is about 5685.0681614208. The cubic root of 32320000 is about 318.5349696716.

Adding to 32320000 its reverse (2323), we get a palindrome (32322323).

It can be divided in two parts, 32 and 320000, that multiplied together give a square (10240000 = 3200²).

The spelling of 32320000 in words is "thirty-two million, three hundred twenty thousand".