36130176 has 96 divisors (see below), whose sum is σ = 105549600. Its totient is φ = 11860992.

The previous prime is 36130147. The next prime is 36130177. The reversal of 36130176 is 67103163.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36130177) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90810 + ... + 91206.

It is an arithmetic number, because the mean of its divisors is an integer number (1099475).

Almost surely, 2^36130176 is an apocalyptic number.

36130176 is a gapful number since it is divisible by the number (36) 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 36130176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52774800).

36130176 is an abundant number, since it is smaller than the sum of its proper divisors (69419424).

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

36130176 is a wasteful number, since it uses less digits than its factorization.

36130176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 36130176 is about 6010.8382110983. The cubic root of 36130176 is about 330.5902384352.

The spelling of 36130176 in words is "thirty-six million, one hundred thirty thousand, one hundred seventy-six".