85635540 has 36 divisors (see below), whose sum is σ = 259761684. Its totient is φ = 22836096.

The previous prime is 85635503. The next prime is 85635553. The reversal of 85635540 is 4553658.

85635540 is a `hidden beast` number, since 8 + 563 + 55 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 53758224 + 31877316 = 7332^2 + 5646^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×85635540² = 14666891422183200, which contains 22 as substring.

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 = 85635495 and 85635504.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 237697 + ... + 238056.

Almost surely, 2^85635540 is an apocalyptic number.

It is an amenable number.

85635540 is an abundant number, since it is smaller than the sum of its proper divisors (174126144).

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

85635540 is a wasteful number, since it uses less digits than its factorization.

85635540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475768 (or 475763 counting only the distinct ones).

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

The square root of 85635540 is about 9253.9472658969. The cubic root of 85635540 is about 440.7760752515.

The spelling of 85635540 in words is "eighty-five million, six hundred thirty-five thousand, five hundred forty".