85955376 has 80 divisors (see below), whose sum is σ = 241095680. Its totient is φ = 26231040.

The previous prime is 85955351. The next prime is 85955377. The reversal of 85955376 is 67355958.

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

It is not an unprimeable number, because it can be changed into a prime (85955377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86241 + ... + 87231.

It is an arithmetic number, because the mean of its divisors is an integer number (3013696).

Almost surely, 2^85955376 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 85955376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120547840).

85955376 is an abundant number, since it is smaller than the sum of its proper divisors (155140304).

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

85955376 is a wasteful number, since it uses less digits than its factorization.

85955376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1148 counting only the distinct ones).

The product of its digits is 1134000, while the sum is 48.

The square root of 85955376 is about 9271.2122184750. The cubic root of 85955376 is about 441.3241378583.

The spelling of 85955376 in words is "eighty-five million, nine hundred fifty-five thousand, three hundred seventy-six".