85926000 has 80 divisors (see below), whose sum is σ = 277044768. Its totient is φ = 22912000.

The previous prime is 85925993. The next prime is 85926023. The reversal of 85926000 is 62958.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 1161 + ... + 13160.

Almost surely, 2^85926000 is an apocalyptic number.

85926000 is a gapful number since it is divisible by the number (80) 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 85926000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138522384).

85926000 is an abundant number, since it is smaller than the sum of its proper divisors (191118768).

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

85926000 is a wasteful number, since it uses less digits than its factorization.

85926000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14347 (or 14331 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 85926000 is about 9269.6278242441. The cubic root of 85926000 is about 441.2738566712.

Adding to 85926000 its reverse (62958), we get a palindrome (85988958).

The spelling of 85926000 in words is "eighty-five million, nine hundred twenty-six thousand".