36886960 has 80 divisors (see below), whose sum is σ = 94493952. Its totient is φ = 13280000.

The previous prime is 36886951. The next prime is 36886979. The reversal of 36886960 is 6968863.

It is a happy number.

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

It is a super-3 number, since 3×36886960³ (a number of 24 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 36886960.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146835 + ... + 147085.

Almost surely, 2^36886960 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 36886960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47246976).

36886960 is an abundant number, since it is smaller than the sum of its proper divisors (57606992).

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

36886960 is a wasteful number, since it uses less digits than its factorization.

36886960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 46.

The square root of 36886960 is about 6073.4635917242. The cubic root of 36886960 is about 332.8824927254.

It can be divided in two parts, 3688 and 6960, that added together give a cube (10648 = 22³).

The spelling of 36886960 in words is "thirty-six million, eight hundred eighty-six thousand, nine hundred sixty".