33332420 has 48 divisors (see below), whose sum is σ = 77027328. Its totient is φ = 12015360.

The previous prime is 33332419. The next prime is 33332423. The reversal of 33332420 is 2423333.

It is a super-2 number, since 2×33332420² = 2222100446112800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 33332392 and 33332401.

It is not an unprimeable number, because it can be changed into a prime (33332423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27344 + ... + 28536.

It is an arithmetic number, because the mean of its divisors is an integer number (1604736).

Almost surely, 2^33332420 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 33332420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38513664).

33332420 is an abundant number, since it is smaller than the sum of its proper divisors (43694908).

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

33332420 is a wasteful number, since it uses less digits than its factorization.

33332420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

The square root of 33332420 is about 5773.4235943676. The cubic root of 33332420 is about 321.8268554629.

Adding to 33332420 its reverse (2423333), we get a palindrome (35755753).

The spelling of 33332420 in words is "thirty-three million, three hundred thirty-two thousand, four hundred twenty".