85511700 has 288 divisors, whose sum is σ = 307480320. Its totient is φ = 20528640.

The previous prime is 85511687. The next prime is 85511707. The reversal of 85511700 is 711558.

85511700 = T₂₃₂ + T₂₃₃ + ... + T₈₀₆.

85511700 is a `hidden beast` number, since 85 + 511 + 70 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85511707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3717889 + ... + 3717911.

It is an arithmetic number, because the mean of its divisors is an integer number (1067640).

Almost surely, 2^85511700 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 85511700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153740160).

85511700 is an abundant number, since it is smaller than the sum of its proper divisors (221968620).

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

85511700 is a wasteful number, since it uses less digits than its factorization.

85511700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 27.

The square root of 85511700 is about 9247.2536463536. The cubic root of 85511700 is about 440.5634997913.

The spelling of 85511700 in words is "eighty-five million, five hundred eleven thousand, seven hundred".