85148672 has 66 divisors (see below), whose sum is σ = 198120942. Its totient is φ = 36470784.

The previous prime is 85148663. The next prime is 85148681. The reversal of 85148672 is 27684158.

It is an interprime number because it is at equal distance from previous prime (85148663) and next prime (85148681).

It can be written as a sum of positive squares in only one way, i.e., 84345856 + 802816 = 9184^2 + 896^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 49328 + ... + 51024.

Almost surely, 2^85148672 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 85148672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99060471).

85148672 is an abundant number, since it is smaller than the sum of its proper divisors (112972270).

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

85148672 is a wasteful number, since it uses less digits than its factorization.

85148672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1731 (or 1706 counting only the distinct ones).

The product of its digits is 107520, while the sum is 41.

The square root of 85148672 is about 9227.6038059726. The cubic root of 85148672 is about 439.9391651430.

The spelling of 85148672 in words is "eighty-five million, one hundred forty-eight thousand, six hundred seventy-two".