85098690 has 48 divisors (see below), whose sum is σ = 222276600. Its totient is φ = 22588416.

The previous prime is 85098679. The next prime is 85098697. The reversal of 85098690 is 9689058.

It can be written as a sum of positive squares in 4 ways, for example, as 82464561 + 2634129 = 9081^2 + 1623^2 .

It is a super-2 number, since 2×85098690² = 14483574079432200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (85098697) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18546 + ... + 22674.

Almost surely, 2^85098690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85098690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111138300).

85098690 is an abundant number, since it is smaller than the sum of its proper divisors (137177910).

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

85098690 is a wasteful number, since it uses less digits than its factorization.

85098690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4371 (or 4368 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 85098690 is about 9224.8951213550. The cubic root of 85098690 is about 439.8530673303.

The spelling of 85098690 in words is "eighty-five million, ninety-eight thousand, six hundred ninety".