35686820 has 48 divisors (see below), whose sum is σ = 83507760. Its totient is φ = 12719616.

The previous prime is 35686817. The next prime is 35686829. The reversal of 35686820 is 2868653.

It can be written as a sum of positive squares in 8 ways, for example, as 6180196 + 29506624 = 2486^2 + 5432^2 .

It is not an unprimeable number, because it can be changed into a prime (35686829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5174 + ... + 9906.

It is an arithmetic number, because the mean of its divisors is an integer number (1739745).

Almost surely, 2^35686820 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 35686820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41753880).

35686820 is an abundant number, since it is smaller than the sum of its proper divisors (47820940).

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

35686820 is a wasteful number, since it uses less digits than its factorization.

35686820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4784 (or 4782 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 35686820 is about 5973.8446581745. The cubic root of 35686820 is about 329.2324370704.

The spelling of 35686820 in words is "thirty-five million, six hundred eighty-six thousand, eight hundred twenty".