36987960 has 128 divisors (see below), whose sum is σ = 117135360. Its totient is φ = 9331200.

The previous prime is 36987959. The next prime is 36987961. The reversal of 36987960 is 6978963.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (36987959) and next prime (36987961).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36987961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226839 + ... + 227001.

It is an arithmetic number, because the mean of its divisors is an integer number (915120).

Almost surely, 2^36987960 is an apocalyptic number.

36987960 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 36987960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58567680).

36987960 is an abundant number, since it is smaller than the sum of its proper divisors (80147400).

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

36987960 is a wasteful number, since it uses less digits than its factorization.

36987960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The square root of 36987960 is about 6081.7727678696. The cubic root of 36987960 is about 333.1860371433.

The spelling of 36987960 in words is "thirty-six million, nine hundred eighty-seven thousand, nine hundred sixty".