37660 has 24 divisors (see below), whose sum is σ = 90720. Its totient is φ = 12864.

The previous prime is 37657. The next prime is 37663. The reversal of 37660 is 6673.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (37657) and next prime (37663).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6 + ... + 274.

It is an arithmetic number, because the mean of its divisors is an integer number (3780).

2³⁷⁶⁶⁰ 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 37660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45360).

37660 is an abundant number, since it is smaller than the sum of its proper divisors (53060).

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

37660 is a wasteful number, since it uses less digits than its factorization.

37660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 22.

The square root of 37660 is about 194.0618458121. The cubic root of 37660 is about 33.5191840814.

Adding to 37660 its product of nonzero digits (756), we get a 4-th power (38416 = 14⁴).

The spelling of 37660 in words is "thirty-seven thousand, six hundred sixty".