85198464 has 96 divisors (see below), whose sum is σ = 264072900. Its totient is φ = 26210304.

The previous prime is 85198459. The next prime is 85198469. The reversal of 85198464 is 46489158.

It is an interprime number because it is at equal distance from previous prime (85198459) and next prime (85198469).

It can be written as a sum of positive squares in 2 ways, for example, as 84492864 + 705600 = 9192^2 + 840^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (85198469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12132 + ... + 17820.

Almost surely, 2^85198464 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 85198464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132036450).

85198464 is an abundant number, since it is smaller than the sum of its proper divisors (178874436).

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

85198464 is a wasteful number, since it uses less digits than its factorization.

85198464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5722 (or 5707 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 85198464 is about 9230.3014035296. The cubic root of 85198464 is about 440.0249021719.

The spelling of 85198464 in words is "eighty-five million, one hundred ninety-eight thousand, four hundred sixty-four".