85641600 has 192 divisors, whose sum is σ = 308105280. Its totient is φ = 20736000.

The previous prime is 85641599. The next prime is 85641659. The reversal of 85641600 is 614658.

It is a tau number, because it is divible by the number of its divisors (192).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105195 + ... + 106005.

It is an arithmetic number, because the mean of its divisors is an integer number (1604715).

Almost surely, 2^85641600 is an apocalyptic number.

85641600 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 85641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154052640).

85641600 is an abundant number, since it is smaller than the sum of its proper divisors (222463680).

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

85641600 is a wasteful number, since it uses less digits than its factorization.

85641600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 832 counting only the distinct ones).

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

The square root of 85641600 is about 9254.2746879483. The cubic root of 85641600 is about 440.7864721810.

The spelling of 85641600 in words is "eighty-five million, six hundred forty-one thousand, six hundred".