85940100 has 216 divisors, whose sum is σ = 294309288. Its totient is φ = 20889600.

The previous prime is 85940093. The next prime is 85940119. The reversal of 85940100 is 104958.

It can be written as a sum of positive squares in 12 ways, for example, as 29419776 + 56520324 = 5424^2 + 7518^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 627232 + ... + 627368.

It is an arithmetic number, because the mean of its divisors is an integer number (1362543).

Almost surely, 2^85940100 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 85940100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147154644).

85940100 is an abundant number, since it is smaller than the sum of its proper divisors (208369188).

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

85940100 is a wasteful number, since it uses less digits than its factorization.

85940100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 85940100 is about 9270.3883413803. The cubic root of 85940100 is about 441.2979922494.

The spelling of 85940100 in words is "eighty-five million, nine hundred forty thousand, one hundred".