33033420 has 144 divisors (see below), whose sum is σ = 118879488. Its totient is φ = 7542720.

The previous prime is 33033409. The next prime is 33033421. The reversal of 33033420 is 2433033.

33033420 is a `hidden beast` number, since 330 + 334 + 2 + 0 = 666.

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 33033393 and 33033402.

It is not an unprimeable number, because it can be changed into a prime (33033421) 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, 33535 + ... + 34505.

It is an arithmetic number, because the mean of its divisors is an integer number (825552).

Almost surely, 2^33033420 is an apocalyptic number.

33033420 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 33033420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59439744).

33033420 is an abundant number, since it is smaller than the sum of its proper divisors (85846068).

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

33033420 is a wasteful number, since it uses less digits than its factorization.

33033420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

The square root of 33033420 is about 5747.4707480769. The cubic root of 33033420 is about 320.8616750510.

Adding to 33033420 its reverse (2433033), we get a palindrome (35466453).

The spelling of 33033420 in words is "thirty-three million, thirty-three thousand, four hundred twenty".