85413384 has 48 divisors (see below), whose sum is σ = 264376320. Its totient is φ = 24403680.

The previous prime is 85413347. The next prime is 85413397. The reversal of 85413384 is 48331458.

85413384 is a `hidden beast` number, since 8 + 541 + 33 + 84 = 666.

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 11 ways as a sum of consecutive naturals, for example, 84232 + ... + 85239.

It is an arithmetic number, because the mean of its divisors is an integer number (5507840).

Almost surely, 2^85413384 is an apocalyptic number.

85413384 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

85413384 is an abundant number, since it is smaller than the sum of its proper divisors (178962936).

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

85413384 is a wasteful number, since it uses less digits than its factorization.

85413384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169490 (or 169483 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 85413384 is about 9241.9361607836. The cubic root of 85413384 is about 440.3945909296.

The spelling of 85413384 in words is "eighty-five million, four hundred thirteen thousand, three hundred eighty-four".