85826376 has 48 divisors (see below), whose sum is σ = 234861900. Its totient is φ = 28311552.

The previous prime is 85826369. The next prime is 85826393. The reversal of 85826376 is 67362858.

85826376 is a `hidden beast` number, since 8 + 5 + 8 + 2 + 637 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 84162276 + 1664100 = 9174^2 + 1290^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 840 + ... + 13128.

Almost surely, 2^85826376 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 85826376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117430950).

85826376 is an abundant number, since it is smaller than the sum of its proper divisors (149035524).

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

85826376 is a wasteful number, since it uses less digits than its factorization.

85826376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12398 (or 12391 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 85826376 is about 9264.2525872301. The cubic root of 85826376 is about 441.1032506942.

The spelling of 85826376 in words is "eighty-five million, eight hundred twenty-six thousand, three hundred seventy-six".