36033120 has 192 divisors, whose sum is σ = 133056000. Its totient is φ = 9082368.

The previous prime is 36033119. The next prime is 36033121. The reversal of 36033120 is 2133063.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (36033119) and next prime (36033121).

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 = 36033093 and 36033102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36033121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81861 + ... + 82299.

It is an arithmetic number, because the mean of its divisors is an integer number (693000).

Almost surely, 2^36033120 is an apocalyptic number.

36033120 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 36033120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66528000).

36033120 is an abundant number, since it is smaller than the sum of its proper divisors (97022880).

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

36033120 is a wasteful number, since it uses less digits than its factorization.

36033120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 36033120 is about 6002.7593654918. The cubic root of 36033120 is about 330.2939529548.

Adding to 36033120 its reverse (2133063), we get a palindrome (38166183).

The spelling of 36033120 in words is "thirty-six million, thirty-three thousand, one hundred twenty".