33047040 has 160 divisors (see below), whose sum is σ = 114117696. Its totient is φ = 8110080.

The previous prime is 33047033. The next prime is 33047059. The reversal of 33047040 is 4074033.

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 33046998 and 33047016.

It is a congruent number.

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, 99675 + ... + 100005.

Almost surely, 2^33047040 is an apocalyptic number.

33047040 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 33047040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57058848).

33047040 is an abundant number, since it is smaller than the sum of its proper divisors (81070656).

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

33047040 is a wasteful number, since it uses less digits than its factorization.

33047040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 21.

The square root of 33047040 is about 5748.6554949832. The cubic root of 33047040 is about 320.9057671204.

The spelling of 33047040 in words is "thirty-three million, forty-seven thousand, forty".