85353884 has 108 divisors (see below), whose sum is σ = 197409240. Its totient is φ = 32155200.

The previous prime is 85353811. The next prime is 85353893. The reversal of 85353884 is 48835358.

It is a super-3 number, since 3×85353884³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

Its product of digits (460800) is a multiple of the sum of its prime factors (160).

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 35 ways as a sum of consecutive naturals, for example, 1399214 + ... + 1399274.

Almost surely, 2^85353884 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 85353884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98704620).

85353884 is an abundant number, since it is smaller than the sum of its proper divisors (112055356).

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

85353884 is a wasteful number, since it uses less digits than its factorization.

85353884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 140 counting only the distinct ones).

The product of its digits is 460800, while the sum is 44.

The square root of 85353884 is about 9238.7165775339. The cubic root of 85353884 is about 440.2923057691.

The spelling of 85353884 in words is "eighty-five million, three hundred fifty-three thousand, eight hundred eighty-four".