36169920 has 168 divisors, whose sum is σ = 131155440. Its totient is φ = 9123840.

The previous prime is 36169919. The next prime is 36169921. The reversal of 36169920 is 2996163.

It is an interprime number because it is at equal distance from previous prime (36169919) and next prime (36169921).

It is a super-2 number, since 2×36169920² = 2616526225612800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (36169921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54390 + ... + 55050.

It is a vampire number, since it can be written as 3966 ⋅ 9120 (with its own digits).

Almost surely, 2^36169920 is an apocalyptic number.

36169920 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 36169920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65577720).

36169920 is an abundant number, since it is smaller than the sum of its proper divisors (94985520).

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

36169920 is a wasteful number, since it uses less digits than its factorization.

36169920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 36169920 is about 6014.1433305168. The cubic root of 36169920 is about 330.7114128948.

The spelling of 36169920 in words is "thirty-six million, one hundred sixty-nine thousand, nine hundred twenty".