85198752 has 108 divisors (see below), whose sum is σ = 253144710. Its totient is φ = 27148800.

The previous prime is 85198727. The next prime is 85198759. The reversal of 85198752 is 25789158.

It is a happy number.

85198752 is a `hidden beast` number, since 8 + 519 + 87 + 52 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 81649296 + 3549456 = 9036^2 + 1884^2 .

It is a junction number, because it is equal to n+sod(n) for n = 85198698 and 85198707.

It is not an unprimeable number, because it can be changed into a prime (85198759) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 843502 + ... + 843602.

Almost surely, 2^85198752 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 85198752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126572355).

85198752 is an abundant number, since it is smaller than the sum of its proper divisors (167945958).

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

85198752 is a wasteful number, since it uses less digits than its factorization.

85198752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 135 counting only the distinct ones).

The product of its digits is 201600, while the sum is 45.

The square root of 85198752 is about 9230.3170043071. The cubic root of 85198752 is about 440.0253979830.

It can be divided in two parts, 8519 and 8752, that added together give a palindrome (17271).

The spelling of 85198752 in words is "eighty-five million, one hundred ninety-eight thousand, seven hundred fifty-two".