36579920 has 80 divisors (see below), whose sum is σ = 97025040. Its totient is φ = 12705792.

The previous prime is 36579899. The next prime is 36579929. The reversal of 36579920 is 2997563.

It can be written as a sum of positive squares in 8 ways, for example, as 3356224 + 33223696 = 1832^2 + 5764^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36579929) 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, 16646 + ... + 18714.

It is an arithmetic number, because the mean of its divisors is an integer number (1212813).

Almost surely, 2^36579920 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 36579920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48512520).

36579920 is an abundant number, since it is smaller than the sum of its proper divisors (60445120).

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

36579920 is a wasteful number, since it uses less digits than its factorization.

36579920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2112 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 41.

The square root of 36579920 is about 6048.1335964081. The cubic root of 36579920 is about 331.9563014049.

The spelling of 36579920 in words is "thirty-six million, five hundred seventy-nine thousand, nine hundred twenty".