85474080 has 72 divisors (see below), whose sum is σ = 291685212. Its totient is φ = 22792704.

The previous prime is 85474073. The next prime is 85474093. The reversal of 85474080 is 8047458.

It can be written as a sum of positive squares in 2 ways, for example, as 85155984 + 318096 = 9228^2 + 564^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28239 + ... + 31118.

Almost surely, 2^85474080 is an apocalyptic number.

85474080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85474080 is an abundant number, since it is smaller than the sum of its proper divisors (206211132).

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

85474080 is a wasteful number, since it uses less digits than its factorization.

85474080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59378 (or 59367 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 85474080 is about 9245.2193051328. The cubic root of 85474080 is about 440.4988831756.

The spelling of 85474080 in words is "eighty-five million, four hundred seventy-four thousand, eighty".