36074160 has 200 divisors, whose sum is σ = 132335280. Its totient is φ = 9082368.

The previous prime is 36074147. The next prime is 36074167. The reversal of 36074160 is 6147063.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (36074167) 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 39 ways as a sum of consecutive naturals, for example, 122974 + ... + 123266.

Almost surely, 2^36074160 is an apocalyptic number.

36074160 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 36074160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66167640).

36074160 is an abundant number, since it is smaller than the sum of its proper divisors (96261120).

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

36074160 is a wasteful number, since it uses less digits than its factorization.

36074160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 36074160 is about 6006.1768205740. The cubic root of 36074160 is about 330.4193017156.

The spelling of 36074160 in words is "thirty-six million, seventy-four thousand, one hundred sixty".