33134640 has 240 divisors, whose sum is σ = 129825024. Its totient is φ = 6842880.

The previous prime is 33134603. The next prime is 33134641. The reversal of 33134640 is 4643133.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 33134640.

It is not an unprimeable number, because it can be changed into a prime (33134641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 203199 + ... + 203361.

Almost surely, 2^33134640 is an apocalyptic number.

33134640 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 33134640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64912512).

33134640 is an abundant number, since it is smaller than the sum of its proper divisors (96690384).

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

33134640 is a wasteful number, since it uses less digits than its factorization.

33134640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 33134640 is about 5756.2696253737. The cubic root of 33134640 is about 321.1890657440.

Adding to 33134640 its reverse (4643133), we get a palindrome (37777773).

The spelling of 33134640 in words is "thirty-three million, one hundred thirty-four thousand, six hundred forty".