85351464 has 144 divisors (see below), whose sum is σ = 259246260. Its totient is φ = 25344000.

The previous prime is 85351451. The next prime is 85351471. The reversal of 85351464 is 46415358.

It is a happy number.

85351464 is a `hidden beast` number, since 85 + 3 + 514 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 79388100 + 5963364 = 8910^2 + 2442^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 845014 + ... + 845114.

Almost surely, 2^85351464 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 85351464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129623130).

85351464 is an abundant number, since it is smaller than the sum of its proper divisors (173894796).

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

85351464 is a wasteful number, since it uses less digits than its factorization.

85351464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 214 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 85351464 is about 9238.5856060330. The cubic root of 85351464 is about 440.2881445937.

It can be divided in two parts, 8535 and 1464, that added together give a palindrome (9999).

The spelling of 85351464 in words is "eighty-five million, three hundred fifty-one thousand, four hundred sixty-four".