36285920 has 96 divisors (see below), whose sum is σ = 95528160. Its totient is φ = 12912640.

The previous prime is 36285889. The next prime is 36285961. The reversal of 36285920 is 2958263.

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, 93086 + ... + 93474.

It is an arithmetic number, because the mean of its divisors is an integer number (995085).

Almost surely, 2^36285920 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 36285920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47764080).

36285920 is an abundant number, since it is smaller than the sum of its proper divisors (59242240).

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

36285920 is a wasteful number, since it uses less digits than its factorization.

36285920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 36285920 is about 6023.7795444389. The cubic root of 36285920 is about 331.0645754692.

The spelling of 36285920 in words is "thirty-six million, two hundred eighty-five thousand, nine hundred twenty".