36961680 has 160 divisors (see below), whose sum is σ = 133920000. Its totient is φ = 8429568.

The previous prime is 36961679. The next prime is 36961681. The reversal of 36961680 is 8616963.

36961680 = T₁₆₀ + T₁₆₁ + ... + T₆₀₈.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (36961679) and next prime (36961681).

It is not an unprimeable number, because it can be changed into a prime (36961681) 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, 82096 + ... + 82544.

It is an arithmetic number, because the mean of its divisors is an integer number (837000).

Almost surely, 2^36961680 is an apocalyptic number.

36961680 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 36961680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66960000).

36961680 is an abundant number, since it is smaller than the sum of its proper divisors (96958320).

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

36961680 is a wasteful number, since it uses less digits than its factorization.

36961680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 36961680 is about 6079.6118297141. The cubic root of 36961680 is about 333.1071087242.

The spelling of 36961680 in words is "thirty-six million, nine hundred sixty-one thousand, six hundred eighty".