36033920 has 128 divisors (see below), whose sum is σ = 95618880. Its totient is φ = 12902400.

The previous prime is 36033919. The next prime is 36033929. The reversal of 36033920 is 2933063.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (26) 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 (26).

It is a self number, because there is not a number n which added to its sum of digits gives 36033920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36033929) 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, 507485 + ... + 507555.

Almost surely, 2^36033920 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 36033920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47809440).

36033920 is an abundant number, since it is smaller than the sum of its proper divisors (59584960).

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

36033920 is a wasteful number, since it uses less digits than its factorization.

36033920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 26.

The square root of 36033920 is about 6002.8260011431. The cubic root of 36033920 is about 330.2963973098.

Adding to 36033920 its reverse (2933063), we get a palindrome (38966983).

The spelling of 36033920 in words is "thirty-six million, thirty-three thousand, nine hundred twenty".