85094400 has 156 divisors (see below), whose sum is σ = 282360152. Its totient is φ = 22609920.

The previous prime is 85094351. The next prime is 85094437. The reversal of 85094400 is 449058.

It is a super-2 number, since 2×85094400² = 14482113822720000, which contains 22 as substring.

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 (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 307062 + ... + 307338.

Almost surely, 2^85094400 is an apocalyptic number.

85094400 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 85094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141180076).

85094400 is an abundant number, since it is smaller than the sum of its proper divisors (197265752).

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

85094400 is a wasteful number, since it uses less digits than its factorization.

85094400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 85094400 is about 9224.6625954557. The cubic root of 85094400 is about 439.8456759068.

The spelling of 85094400 in words is "eighty-five million, ninety-four thousand, four hundred".