32796000 has 144 divisors (see below), whose sum is σ = 116520768. Its totient is φ = 8736000.

The previous prime is 32795993. The next prime is 32796059. The reversal of 32796000 is 69723.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35545 + ... + 36455.

It is an arithmetic number, because the mean of its divisors is an integer number (809172).

Almost surely, 2^32796000 is an apocalyptic number.

32796000 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 32796000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58260384).

32796000 is an abundant number, since it is smaller than the sum of its proper divisors (83724768).

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

32796000 is a wasteful number, since it uses less digits than its factorization.

32796000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 32796000 is about 5726.7791995152. The cubic root of 32796000 is about 320.0911198845.

The spelling of 32796000 in words is "thirty-two million, seven hundred ninety-six thousand".