85214480 has 40 divisors (see below), whose sum is σ = 213366552. Its totient is φ = 31463424.

The previous prime is 85214453. The next prime is 85214483. The reversal of 85214480 is 8441258.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7139584 + 78074896 = 2672^2 + 8836^2 .

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

It is not an unprimeable number, because it can be changed into a prime (85214483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39929 + ... + 42008.

Almost surely, 2^85214480 is an apocalyptic number.

85214480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85214480 is an abundant number, since it is smaller than the sum of its proper divisors (128152072).

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

85214480 is a wasteful number, since it uses less digits than its factorization.

85214480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81963 (or 81957 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 32.

The square root of 85214480 is about 9231.1689400639. The cubic root of 85214480 is about 440.0524730808.

The spelling of 85214480 in words is "eighty-five million, two hundred fourteen thousand, four hundred eighty".