36160020 has 240 divisors, whose sum is σ = 130627728. Its totient is φ = 8294400.

The previous prime is 36159997. The next prime is 36160027. The reversal of 36160020 is 2006163.

It is a happy number.

36160020 is a `hidden beast` number, since 3 + 61 + 600 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1089936 + 35070084 = 1044^2 + 5922^2 .

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 = 36159975 and 36160002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36160027) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 357970 + ... + 358070.

Almost surely, 2^36160020 is an apocalyptic number.

36160020 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 36160020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65313864).

36160020 is an abundant number, since it is smaller than the sum of its proper divisors (94467708).

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

36160020 is a wasteful number, since it uses less digits than its factorization.

36160020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 36160020 is about 6013.3202143242. The cubic root of 36160020 is about 330.6812373443.

Adding to 36160020 its reverse (2006163), we get a palindrome (38166183).

The spelling of 36160020 in words is "thirty-six million, one hundred sixty thousand, twenty".