85187700 has 180 divisors, whose sum is σ = 297754380. Its totient is φ = 20943360.

The previous prime is 85187671. The next prime is 85187701. The reversal of 85187700 is 778158.

It can be written as a sum of positive squares in 6 ways, for example, as 1245456 + 83942244 = 1116^2 + 9162^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85187701) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 104896 + ... + 105704.

It is an arithmetic number, because the mean of its divisors is an integer number (1654191).

Almost surely, 2^85187700 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 85187700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148877190).

85187700 is an abundant number, since it is smaller than the sum of its proper divisors (212566680).

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

85187700 is a wasteful number, since it uses less digits than its factorization.

85187700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

The square root of 85187700 is about 9229.7183055606. The cubic root of 85187700 is about 440.0063704312.

The spelling of 85187700 in words is "eighty-five million, one hundred eighty-seven thousand, seven hundred".