39690 has 60 divisors (see below), whose sum is σ = 124146. Its totient is φ = 9072.

The previous prime is 39679. The next prime is 39703. The reversal of 39690 is 9693.

It can be written as a sum of positive squares in only one way, i.e., 35721 + 3969 = 189^2 + 63^2 .

It is a super-2 number, since 2×39690² = 3150592200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a nialpdrome in base 15.

It is an unprimeable number.

39690 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 29 ways as a sum of consecutive naturals, for example, 5667 + ... + 5673.

2³⁹⁶⁹⁰ is an apocalyptic number.

39690 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 39690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62073).

39690 is an abundant number, since it is smaller than the sum of its proper divisors (84456).

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

39690 is a wasteful number, since it uses less digits than its factorization.

39690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 39690 is about 199.2234925906. The cubic root of 39690 is about 34.1109409542.

It can be divided in two parts, 39 and 690, that added together give a 6-th power (729 = 3⁶).

The spelling of 39690 in words is "thirty-nine thousand, six hundred ninety".