35085540 has 48 divisors (see below), whose sum is σ = 112275072. Its totient is φ = 8019456.

The previous prime is 35085529. The next prime is 35085541. The reversal of 35085540 is 4558053.

35085540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 35085498 and 35085507.

It is not an unprimeable number, because it can be changed into a prime (35085541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41349 + ... + 42188.

It is an arithmetic number, because the mean of its divisors is an integer number (2339064).

Almost surely, 2^35085540 is an apocalyptic number.

35085540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

35085540 is an abundant number, since it is smaller than the sum of its proper divisors (77189532).

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

35085540 is a wasteful number, since it uses less digits than its factorization.

35085540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83556 (or 83554 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 35085540 is about 5923.3048207905. The cubic root of 35085540 is about 327.3728970872.

The spelling of 35085540 in words is "thirty-five million, eighty-five thousand, five hundred forty".