85435280 has 40 divisors (see below), whose sum is σ = 227015232. Its totient is φ = 29291904.

The previous prime is 85435279. The next prime is 85435291. The reversal of 85435280 is 8253458.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 85435280.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75722 + ... + 76841.

Almost surely, 2^85435280 is an apocalyptic number.

85435280 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85435280 is an abundant number, since it is smaller than the sum of its proper divisors (141579952).

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

85435280 is a wasteful number, since it uses less digits than its factorization.

85435280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152583 (or 152577 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

The square root of 85435280 is about 9243.1206851366. The cubic root of 85435280 is about 440.4322199117.

The spelling of 85435280 in words is "eighty-five million, four hundred thirty-five thousand, two hundred eighty".