85407336 has 96 divisors (see below), whose sum is σ = 267234240. Its totient is φ = 24136704.

The previous prime is 85407323. The next prime is 85407341. The reversal of 85407336 is 63370458.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 85407336.

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 23 ways as a sum of consecutive naturals, for example, 48015 + ... + 49761.

It is an arithmetic number, because the mean of its divisors is an integer number (2783690).

Almost surely, 2^85407336 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 85407336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133617120).

85407336 is an abundant number, since it is smaller than the sum of its proper divisors (181826904).

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

85407336 is a wasteful number, since it uses less digits than its factorization.

85407336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1863 (or 1856 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 85407336 is about 9241.6089508267. The cubic root of 85407336 is about 440.3841961131.

It can be divided in two parts, 8540 and 7336, that added together give a square (15876 = 126²).

The spelling of 85407336 in words is "eighty-five million, four hundred seven thousand, three hundred thirty-six".