85140432 has 60 divisors (see below), whose sum is σ = 256609444. Its totient is φ = 26196480.

The previous prime is 85140427. The next prime is 85140443. The reversal of 85140432 is 23404158.

It can be written as a sum of positive squares in 2 ways, for example, as 5645376 + 79495056 = 2376^2 + 8916^2 .

It is a super-2 number, since 2×85140432² = 14497786322293248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 85140396 and 85140405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20869 + ... + 24612.

Almost surely, 2^85140432 is an apocalyptic number.

It is an amenable number.

85140432 is an abundant number, since it is smaller than the sum of its proper divisors (171469012).

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

85140432 is a wasteful number, since it uses less digits than its factorization.

85140432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45508 (or 45499 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 85140432 is about 9227.1573087273. The cubic root of 85140432 is about 439.9249734335.

The spelling of 85140432 in words is "eighty-five million, one hundred forty thousand, four hundred thirty-two".