32805000 has 180 divisors, whose sum is σ = 115287315. Its totient is φ = 8748000.

The previous prime is 32804971. The next prime is 32805049. The reversal of 32805000 is 50823.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 7584516 + 25220484 = 2754^2 + 5022^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=4050.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6560998 + ... + 6561002.

Almost surely, 2^32805000 is an apocalyptic number.

32805000 is a gapful number since it is divisible by the number (30) 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 32805000

32805000 is an abundant number, since it is smaller than the sum of its proper divisors (82482315).

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

32805000 is an frugal number, since it uses more digits than its factorization.

32805000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 32805000 is about 5727.5649276110. The cubic root of 32805000 is about 320.1203974041.

Multiplying 32805000 by its sum of digits (18), we get a square (590490000 = 24300²).

32805000 divided by its sum of digits (18) gives a square (1822500 = 1350²).

Adding to 32805000 its reverse (50823), we get a palindrome (32855823).

The spelling of 32805000 in words is "thirty-two million, eight hundred five thousand".