36219820 has 72 divisors (see below), whose sum is σ = 95319504. Its totient is φ = 11458944.

The previous prime is 36219793. The next prime is 36219823. The reversal of 36219820 is 2891263.

It is not an unprimeable number, because it can be changed into a prime (36219823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11319 + ... + 14161.

It is an arithmetic number, because the mean of its divisors is an integer number (1323882).

Almost surely, 2^36219820 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 36219820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47659752).

36219820 is an abundant number, since it is smaller than the sum of its proper divisors (59099684).

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

36219820 is a wasteful number, since it uses less digits than its factorization.

36219820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2879 (or 2870 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 36219820 is about 6018.2904549382. The cubic root of 36219820 is about 330.8634260996.

The spelling of 36219820 in words is "thirty-six million, two hundred nineteen thousand, eight hundred twenty".