85364600 has 48 divisors (see below), whose sum is σ = 200377800. Its totient is φ = 33818240.

The previous prime is 85364593. The next prime is 85364621. The reversal of 85364600 is 646358.

It is a super-2 number, since 2×85364600² = 14574229866320000, which contains 22 as substring.

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, 19406 + ... + 23394.

Almost surely, 2^85364600 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 85364600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100188900).

85364600 is an abundant number, since it is smaller than the sum of its proper divisors (115013200).

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

85364600 is a wasteful number, since it uses less digits than its factorization.

85364600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4112 (or 4103 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 85364600 is about 9239.2965100163. The cubic root of 85364600 is about 440.3107309213.

The spelling of 85364600 in words is "eighty-five million, three hundred sixty-four thousand, six hundred".