36275160 has 128 divisors (see below), whose sum is σ = 114125760. Its totient is φ = 9216000.

The previous prime is 36275153. The next prime is 36275167. The reversal of 36275160 is 6157263.

It is an interprime number because it is at equal distance from previous prime (36275153) and next prime (36275167).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36275167) 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 31 ways as a sum of consecutive naturals, for example, 359110 + ... + 359210.

Almost surely, 2^36275160 is an apocalyptic number.

36275160 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 36275160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57062880).

36275160 is an abundant number, since it is smaller than the sum of its proper divisors (77850600).

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

36275160 is a wasteful number, since it uses less digits than its factorization.

36275160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 36275160 is about 6022.8863512439. The cubic root of 36275160 is about 331.0318482938.

The spelling of 36275160 in words is "thirty-six million, two hundred seventy-five thousand, one hundred sixty".