85266368 has 56 divisors (see below), whose sum is σ = 190585344. Its totient is φ = 37497600.

The previous prime is 85266367. The next prime is 85266371. The reversal of 85266368 is 86366258.

It is a super-2 number, since 2×85266368² = 14540707023822848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85266367) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 19871 + ... + 23777.

Almost surely, 2^85266368 is an apocalyptic number.

85266368 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85266368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95292672).

85266368 is an abundant number, since it is smaller than the sum of its proper divisors (105318976).

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

85266368 is a wasteful number, since it uses less digits than its factorization.

85266368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3961 (or 3951 counting only the distinct ones).

The product of its digits is 414720, while the sum is 44.

The square root of 85266368 is about 9233.9789906627. The cubic root of 85266368 is about 440.1417724964.

The spelling of 85266368 in words is "eighty-five million, two hundred sixty-six thousand, three hundred sixty-eight".