36742086 has 96 divisors (see below), whose sum is σ = 91203840. Its totient is φ = 11034144.

The previous prime is 36742001. The next prime is 36742087. The reversal of 36742086 is 68024763.

It is a self number, because there is not a number n which added to its sum of digits gives 36742086.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36742087) 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 47 ways as a sum of consecutive naturals, for example, 212296 + ... + 212468.

It is an arithmetic number, because the mean of its divisors is an integer number (950040).

Almost surely, 2^36742086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36742086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45601920).

36742086 is an abundant number, since it is smaller than the sum of its proper divisors (54461754).

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

36742086 is a wasteful number, since it uses less digits than its factorization.

36742086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 36742086 is about 6061.5250556275. The cubic root of 36742086 is about 332.4461208795.

The spelling of 36742086 in words is "thirty-six million, seven hundred forty-two thousand, eighty-six".