85729104 has 100 divisors (see below), whose sum is σ = 256793460. Its totient is φ = 27578880.

The previous prime is 85729099. The next prime is 85729109. The reversal of 85729104 is 40192758.

It is an interprime number because it is at equal distance from previous prime (85729099) and next prime (85729109).

It can be written as a sum of positive squares in 2 ways, for example, as 48274704 + 37454400 = 6948^2 + 6120^2 .

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 (85729109) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 36444 + ... + 38724.

Almost surely, 2^85729104 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 85729104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128396730).

85729104 is an abundant number, since it is smaller than the sum of its proper divisors (171064356).

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

85729104 is a wasteful number, since it uses less digits than its factorization.

85729104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2330 (or 2315 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 85729104 is about 9259.0012420347. The cubic root of 85729104 is about 440.9365450835.

The spelling of 85729104 in words is "eighty-five million, seven hundred twenty-nine thousand, one hundred four".