33162320 has 80 divisors (see below), whose sum is σ = 81959040. Its totient is φ = 12452352.

The previous prime is 33162313. The next prime is 33162347. The reversal of 33162320 is 2326133.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 33162292 and 33162301.

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, 123146 + ... + 123414.

It is an arithmetic number, because the mean of its divisors is an integer number (1024488).

Almost surely, 2^33162320 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 33162320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40979520).

33162320 is an abundant number, since it is smaller than the sum of its proper divisors (48796720).

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

33162320 is a wasteful number, since it uses less digits than its factorization.

33162320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 33162320 is about 5758.6734583583. The cubic root of 33162320 is about 321.2784791075.

Adding to 33162320 its reverse (2326133), we get a palindrome (35488453).

The spelling of 33162320 in words is "thirty-three million, one hundred sixty-two thousand, three hundred twenty".