36508680 has 192 divisors, whose sum is σ = 132678000. Its totient is φ = 8644608.

The previous prime is 36508657. The next prime is 36508711. The reversal of 36508680 is 8680563.

It can be written as a sum of positive squares in 8 ways, for example, as 2566404 + 33942276 = 1602^2 + 5826^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135586 + ... + 135854.

Almost surely, 2^36508680 is an apocalyptic number.

36508680 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 36508680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66339000).

36508680 is an abundant number, since it is smaller than the sum of its proper divisors (96169320).

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

36508680 is a wasteful number, since it uses less digits than its factorization.

36508680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 36508680 is about 6042.2413060056. The cubic root of 36508680 is about 331.7406645606.

The spelling of 36508680 in words is "thirty-six million, five hundred eight thousand, six hundred eighty".