85346688 has 64 divisors (see below), whose sum is σ = 259096320. Its totient is φ = 24384000.

The previous prime is 85346671. The next prime is 85346693. The reversal of 85346688 is 88664358.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 13188 + ... + 18563.

It is an arithmetic number, because the mean of its divisors is an integer number (4048380).

Almost surely, 2^85346688 is an apocalyptic number.

It is an amenable number.

85346688 is an abundant number, since it is smaller than the sum of its proper divisors (173749632).

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

85346688 is a wasteful number, since it uses less digits than its factorization.

85346688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31775 (or 31763 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 48.

The square root of 85346688 is about 9238.3271212920. The cubic root of 85346688 is about 440.2799320597.

The spelling of 85346688 in words is "eighty-five million, three hundred forty-six thousand, six hundred eighty-eight".