85099140 has 192 divisors, whose sum is σ = 309657600. Its totient is φ = 18997632.

The previous prime is 85099129. The next prime is 85099159. The reversal of 85099140 is 4199058.

85099140 is a `hidden beast` number, since 8 + 509 + 9 + 140 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 85099095 and 85099104.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 177421 + ... + 177899.

It is an arithmetic number, because the mean of its divisors is an integer number (1612800).

Almost surely, 2^85099140 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 85099140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154828800).

85099140 is an abundant number, since it is smaller than the sum of its proper divisors (224558460).

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

85099140 is a wasteful number, since it uses less digits than its factorization.

85099140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 85099140 is about 9224.9195118440. The cubic root of 85099140 is about 439.8538426400.

The spelling of 85099140 in words is "eighty-five million, ninety-nine thousand, one hundred forty".