36270080 has 208 divisors, whose sum is σ = 113232384. Its totient is φ = 10813440.

The previous prime is 36270079. The next prime is 36270109. The reversal of 36270080 is 8007263.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1576949 + ... + 1576971.

Almost surely, 2^36270080 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 36270080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56616192).

36270080 is an abundant number, since it is smaller than the sum of its proper divisors (76962304).

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

36270080 is a wasteful number, since it uses less digits than its factorization.

36270080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 36270080 is about 6022.4646117682. The cubic root of 36270080 is about 331.0163949248.

The spelling of 36270080 in words is "thirty-six million, two hundred seventy thousand, eighty".