36166416 has 120 divisors (see below), whose sum is σ = 110826240. Its totient is φ = 10095360.

The previous prime is 36166411. The next prime is 36166421. The reversal of 36166416 is 61466163.

It is an interprime number because it is at equal distance from previous prime (36166411) and next prime (36166421).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (36166411) 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, 75265 + ... + 75743.

It is an arithmetic number, because the mean of its divisors is an integer number (923552).

Almost surely, 2^36166416 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 36166416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55413120).

36166416 is an abundant number, since it is smaller than the sum of its proper divisors (74659824).

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

36166416 is a wasteful number, since it uses less digits than its factorization.

36166416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 508 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 36166416 is about 6013.8520101512. The cubic root of 36166416 is about 330.7007332083.

The spelling of 36166416 in words is "thirty-six million, one hundred sixty-six thousand, four hundred sixteen".