36098960 has 60 divisors (see below), whose sum is σ = 87840732. Its totient is φ = 13795584.

The previous prime is 36098929. The next prime is 36098969. The reversal of 36098960 is 6989063.

It can be written as a sum of positive squares in 2 ways, for example, as 6635776 + 29463184 = 2576^2 + 5428^2 .

It is not an unprimeable number, because it can be changed into a prime (36098969) 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 11 ways as a sum of consecutive naturals, for example, 41894 + ... + 42746.

Almost surely, 2^36098960 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 36098960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43920366).

36098960 is an abundant number, since it is smaller than the sum of its proper divisors (51741772).

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

36098960 is a wasteful number, since it uses less digits than its factorization.

36098960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 41.

The square root of 36098960 is about 6008.2410071501. The cubic root of 36098960 is about 330.4950024535.

The spelling of 36098960 in words is "thirty-six million, ninety-eight thousand, nine hundred sixty".