85414032 has 60 divisors (see below), whose sum is σ = 260776464. Its totient is φ = 25882560.

The previous prime is 85414031. The next prime is 85414033. The reversal of 85414032 is 23041458.

It is an interprime number because it is at equal distance from previous prime (85414031) and next prime (85414033).

It is a junction number, because it is equal to n+sod(n) for n = 85413987 and 85414005.

It is not an unprimeable number, because it can be changed into a prime (85414031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25378 + ... + 28545.

Almost surely, 2^85414032 is an apocalyptic number.

It is an amenable number.

85414032 is an abundant number, since it is smaller than the sum of its proper divisors (175362432).

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

85414032 is a wasteful number, since it uses less digits than its factorization.

85414032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53948 (or 53939 counting only the distinct ones).

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

The square root of 85414032 is about 9241.9712183062. The cubic root of 85414032 is about 440.3957046308.

The spelling of 85414032 in words is "eighty-five million, four hundred fourteen thousand, thirty-two".