33124320 has 72 divisors (see below), whose sum is σ = 113041656. Its totient is φ = 8832768.

The previous prime is 33124309. The next prime is 33124321. The reversal of 33124320 is 2342133.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 33124293 and 33124302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33124321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10062 + ... + 12941.

It is an arithmetic number, because the mean of its divisors is an integer number (1570023).

Almost surely, 2^33124320 is an apocalyptic number.

33124320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33124320 is an abundant number, since it is smaller than the sum of its proper divisors (79917336).

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

33124320 is a wasteful number, since it uses less digits than its factorization.

33124320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23024 (or 23013 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 33124320 is about 5755.3731416825. The cubic root of 33124320 is about 321.1557168042.

Adding to 33124320 its reverse (2342133), we get a palindrome (35466453).

The spelling of 33124320 in words is "thirty-three million, one hundred twenty-four thousand, three hundred twenty".