33125040 has 120 divisors (see below), whose sum is σ = 119836080. Its totient is φ = 8151552.

The previous prime is 33125009. The next prime is 33125041. The reversal of 33125040 is 4052133.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (33125041) 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, 7591 + ... + 11129.

It is an arithmetic number, because the mean of its divisors is an integer number (998634).

Almost surely, 2^33125040 is an apocalyptic number.

33125040 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 33125040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59918040).

33125040 is an abundant number, since it is smaller than the sum of its proper divisors (86711040).

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

33125040 is a wasteful number, since it uses less digits than its factorization.

33125040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3571 (or 3562 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 33125040 is about 5755.4356915876. The cubic root of 33125040 is about 321.1580436992.

Adding to 33125040 its reverse (4052133), we get a palindrome (37177173).

The spelling of 33125040 in words is "thirty-three million, one hundred twenty-five thousand, forty".