85458156 has 144 divisors (see below), whose sum is σ = 248209920. Its totient is φ = 22767360.

The previous prime is 85458151. The next prime is 85458161. The reversal of 85458156 is 65185458.

It is an interprime number because it is at equal distance from previous prime (85458151) and next prime (85458161).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (85458151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 960160 + ... + 960248.

It is an arithmetic number, because the mean of its divisors is an integer number (1723680).

Almost surely, 2^85458156 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 85458156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124104960).

85458156 is an abundant number, since it is smaller than the sum of its proper divisors (162751764).

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

85458156 is a wasteful number, since it uses less digits than its factorization.

85458156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 195 counting only the distinct ones).

The product of its digits is 192000, while the sum is 42.

The square root of 85458156 is about 9244.3580631648. The cubic root of 85458156 is about 440.4715261887.

The spelling of 85458156 in words is "eighty-five million, four hundred fifty-eight thousand, one hundred fifty-six".