32485800 has 96 divisors (see below), whose sum is σ = 104234400. Its totient is φ = 8359680.

The previous prime is 32485787. The next prime is 32485807. The reversal of 32485800 is 858423.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (32485807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16467 + ... + 18333.

It is an arithmetic number, because the mean of its divisors is an integer number (1085775).

Almost surely, 2^32485800 is an apocalyptic number.

32485800 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 32485800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52117200).

32485800 is an abundant number, since it is smaller than the sum of its proper divisors (71748600).

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

32485800 is a wasteful number, since it uses less digits than its factorization.

32485800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1915 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 32485800 is about 5699.6315670401. The cubic root of 32485800 is about 319.0787304487.

Adding to 32485800 its sum of digits (30), we get a triangular number (32485830 = T₈₀₆₀).

The spelling of 32485800 in words is "thirty-two million, four hundred eighty-five thousand, eight hundred".