85097600 has 192 divisors, whose sum is σ = 250430400. Its totient is φ = 27955200.

The previous prime is 85097587. The next prime is 85097609. The reversal of 85097600 is 679058.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (85097609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 649535 + ... + 649665.

It is an arithmetic number, because the mean of its divisors is an integer number (1304325).

Almost surely, 2^85097600 is an apocalyptic number.

85097600 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 85097600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125215200).

85097600 is an abundant number, since it is smaller than the sum of its proper divisors (165332800).

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

85097600 is a wasteful number, since it uses less digits than its factorization.

85097600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 85097600 is about 9224.8360419034. The cubic root of 85097600 is about 439.8511893464.

The spelling of 85097600 in words is "eighty-five million, ninety-seven thousand, six hundred".