85266400 has 72 divisors (see below), whose sum is σ = 212189544. Its totient is φ = 33446400.

The previous prime is 85266397. The next prime is 85266427. The reversal of 85266400 is 466258.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41395 + ... + 43405.

It is an arithmetic number, because the mean of its divisors is an integer number (2947077).

Almost surely, 2^85266400 is an apocalyptic number.

85266400 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 85266400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106094772).

85266400 is an abundant number, since it is smaller than the sum of its proper divisors (126923144).

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

85266400 is a wasteful number, since it uses less digits than its factorization.

85266400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2084 (or 2071 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 85266400 is about 9233.9807233934. The cubic root of 85266400 is about 440.1418275573.

The spelling of 85266400 in words is "eighty-five million, two hundred sixty-six thousand, four hundred".