32799120 has 80 divisors (see below), whose sum is σ = 107671680. Its totient is φ = 8230912.

The previous prime is 32799101. The next prime is 32799133. The reversal of 32799120 is 2199723.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 61 + ... + 8099.

It is an arithmetic number, because the mean of its divisors is an integer number (1345896).

Almost surely, 2^32799120 is an apocalyptic number.

32799120 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 32799120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53835840).

32799120 is an abundant number, since it is smaller than the sum of its proper divisors (74872560).

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

32799120 is a wasteful number, since it uses less digits than its factorization.

32799120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8072 (or 8066 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 32799120 is about 5727.0515974627. The cubic root of 32799120 is about 320.1012700311.

The spelling of 32799120 in words is "thirty-two million, seven hundred ninety-nine thousand, one hundred twenty".