36166900 has 162 divisors, whose sum is σ = 101994774. Its totient is φ = 11088000.

The previous prime is 36166891. The next prime is 36166909. The reversal of 36166900 is 966163.

It is an interprime number because it is at equal distance from previous prime (36166891) and next prime (36166909).

It can be written as a sum of positive squares in 3 ways, for example, as 94864 + 36072036 = 308^2 + 6006^2 .

It is a super-2 number, since 2×36166900² = 2616089311220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36166909) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 592870 + ... + 592930.

Almost surely, 2^36166900 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 36166900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50997387).

36166900 is an abundant number, since it is smaller than the sum of its proper divisors (65827874).

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

36166900 is a wasteful number, since it uses less digits than its factorization.

36166900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 31.

The square root of 36166900 is about 6013.8922504481. The cubic root of 36166900 is about 330.7022084116.

The spelling of 36166900 in words is "thirty-six million, one hundred sixty-six thousand, nine hundred".