85114080 has 72 divisors (see below), whose sum is σ = 290456712. Its totient is φ = 22696704.

The previous prime is 85114079. The next prime is 85114103. The reversal of 85114080 is 8041158.

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

It is a super-2 number, since 2×85114080² = 14488813228492800, which contains 22 as substring.

It is a congruent number.

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, 28114 + ... + 30993.

It is an arithmetic number, because the mean of its divisors is an integer number (4034121).

Almost surely, 2^85114080 is an apocalyptic number.

85114080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85114080 is an abundant number, since it is smaller than the sum of its proper divisors (205342632).

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

85114080 is a wasteful number, since it uses less digits than its factorization.

85114080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59128 (or 59117 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 85114080 is about 9225.7292394694. The cubic root of 85114080 is about 439.8795813721.

The spelling of 85114080 in words is "eighty-five million, one hundred fourteen thousand, eighty".