85354464 has 72 divisors (see below), whose sum is σ = 242662392. Its totient is φ = 26257920.

The previous prime is 85354459. The next prime is 85354481. The reversal of 85354464 is 46445358.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13594 + ... + 18854.

It is an arithmetic number, because the mean of its divisors is an integer number (3370311).

Almost surely, 2^85354464 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 85354464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121331196).

85354464 is an abundant number, since it is smaller than the sum of its proper divisors (157307928).

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

85354464 is a wasteful number, since it uses less digits than its factorization.

85354464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5300 (or 5279 counting only the distinct ones).

The product of its digits is 230400, while the sum is 39.

The square root of 85354464 is about 9238.7479671220. The cubic root of 85354464 is about 440.2933030639.

The spelling of 85354464 in words is "eighty-five million, three hundred fifty-four thousand, four hundred sixty-four".