36987760 has 80 divisors (see below), whose sum is σ = 90396000. Its totient is φ = 14056448.

The previous prime is 36987751. The next prime is 36987763. The reversal of 36987760 is 6778963.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 36987760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36987763) 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 15 ways as a sum of consecutive naturals, for example, 248166 + ... + 248314.

It is an arithmetic number, because the mean of its divisors is an integer number (1129950).

Almost surely, 2^36987760 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 36987760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45198000).

36987760 is an abundant number, since it is smaller than the sum of its proper divisors (53408240).

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

36987760 is a wasteful number, since it uses less digits than its factorization.

36987760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 46.

The square root of 36987760 is about 6081.7563252732. The cubic root of 36987760 is about 333.1854366116.

The spelling of 36987760 in words is "thirty-six million, nine hundred eighty-seven thousand, seven hundred sixty".