35685540 has 144 divisors (see below), whose sum is σ = 120294720. Its totient is φ = 8490240.

The previous prime is 35685527. The next prime is 35685541. The reversal of 35685540 is 4558653.

35685540 is a `hidden beast` number, since 3 + 568 + 55 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 35685495 and 35685504.

It is not an unprimeable number, because it can be changed into a prime (35685541) 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 47 ways as a sum of consecutive naturals, for example, 132526 + ... + 132794.

It is an arithmetic number, because the mean of its divisors is an integer number (835380).

Almost surely, 2^35685540 is an apocalyptic number.

35685540 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 35685540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60147360).

35685540 is an abundant number, since it is smaller than the sum of its proper divisors (84609180).

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

35685540 is a wasteful number, since it uses less digits than its factorization.

35685540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 35685540 is about 5973.7375235275. The cubic root of 35685540 is about 329.2285007660.

The spelling of 35685540 in words is "thirty-five million, six hundred eighty-five thousand, five hundred forty".