32868000 has 288 divisors, whose sum is σ = 128786112. Its totient is φ = 7872000.

The previous prime is 32867999. The next prime is 32868001. The reversal of 32868000 is 86823.

It is an interprime number because it is at equal distance from previous prime (32867999) and next prime (32868001).

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (32868001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 395959 + ... + 396041.

It is an arithmetic number, because the mean of its divisors is an integer number (447174).

Almost surely, 2^32868000 is an apocalyptic number.

32868000 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 32868000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64393056).

32868000 is an abundant number, since it is smaller than the sum of its proper divisors (95918112).

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

32868000 is a wasteful number, since it uses less digits than its factorization.

32868000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 32868000 is about 5733.0620090838. The cubic root of 32868000 is about 320.3251902567.

The spelling of 32868000 in words is "thirty-two million, eight hundred sixty-eight thousand".