33125760 has 224 divisors, whose sum is σ = 120404880. Its totient is φ = 8709120.

The previous prime is 33125749. The next prime is 33125779. The reversal of 33125760 is 6752133.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 27 ways as a sum of consecutive naturals, for example, 466525 + ... + 466595.

Almost surely, 2^33125760 is an apocalyptic number.

33125760 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 33125760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60202440).

33125760 is an abundant number, since it is smaller than the sum of its proper divisors (87279120).

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

33125760 is an frugal number, since it uses more digits than its factorization.

33125760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 33125760 is about 5755.4982408129. The cubic root of 33125760 is about 321.1603705604.

Adding to 33125760 its reverse (6752133), we get a palindrome (39877893).

The spelling of 33125760 in words is "thirty-three million, one hundred twenty-five thousand, seven hundred sixty".