85154208 has 96 divisors (see below), whose sum is σ = 234964800. Its totient is φ = 26966016.

The previous prime is 85154183. The next prime is 85154227. The reversal of 85154208 is 80245158.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203023 + ... + 203441.

It is an arithmetic number, because the mean of its divisors is an integer number (2447550).

Almost surely, 2^85154208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85154208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117482400).

85154208 is an abundant number, since it is smaller than the sum of its proper divisors (149810592).

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

85154208 is a wasteful number, since it uses less digits than its factorization.

85154208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 33.

The square root of 85154208 is about 9227.9037706296. The cubic root of 85154208 is about 439.9486992531.

The spelling of 85154208 in words is "eighty-five million, one hundred fifty-four thousand, two hundred eight".