85347384 has 64 divisors (see below), whose sum is σ = 219088800. Its totient is φ = 27695616.

The previous prime is 85347343. The next prime is 85347401. The reversal of 85347384 is 48374358.

85347384 = T₃₆₇ + T₃₆₈ + ... + T₈₂₄.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 291142 + ... + 291434.

Almost surely, 2^85347384 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 85347384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109544400).

85347384 is an abundant number, since it is smaller than the sum of its proper divisors (133741416).

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

85347384 is a wasteful number, since it uses less digits than its factorization.

85347384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 580 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The square root of 85347384 is about 9238.3647903728. The cubic root of 85347384 is about 440.2811288802.

The spelling of 85347384 in words is "eighty-five million, three hundred forty-seven thousand, three hundred eighty-four".