33013440 has 112 divisors (see below), whose sum is σ = 116494560. Its totient is φ = 8801280.

The previous prime is 33013433. The next prime is 33013501. The reversal of 33013440 is 4431033.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6730 + ... + 10550.

It is an arithmetic number, because the mean of its divisors is an integer number (1040130).

Almost surely, 2^33013440 is an apocalyptic number.

33013440 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 33013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58247280).

33013440 is an abundant number, since it is smaller than the sum of its proper divisors (83481120).

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

33013440 is a wasteful number, since it uses less digits than its factorization.

33013440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3847 (or 3831 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 33013440 is about 5745.7323293032. The cubic root of 33013440 is about 320.7969717979.

Adding to 33013440 its reverse (4431033), we get a palindrome (37444473).

The spelling of 33013440 in words is "thirty-three million, thirteen thousand, four hundred forty".