33504640 has 64 divisors (see below), whose sum is σ = 86279760. Its totient is φ = 12367872.

The previous prime is 33504631. The next prime is 33504641. The reversal of 33504640 is 4640533.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×33504640² = 2245121803059200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33504641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6307 + ... + 10333.

Almost surely, 2^33504640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33504640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43139880).

33504640 is an abundant number, since it is smaller than the sum of its proper divisors (52775120).

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

33504640 is a wasteful number, since it uses less digits than its factorization.

33504640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4059 (or 4047 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 33504640 is about 5788.3192724659. The cubic root of 33504640 is about 322.3801690089.

The spelling of 33504640 in words is "thirty-three million, five hundred four thousand, six hundred forty".