85337420 has 108 divisors (see below), whose sum is σ = 219328704. Its totient is φ = 27780480.

The previous prime is 85337419. The next prime is 85337453. The reversal of 85337420 is 2473358.

It is a happy 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 35 ways as a sum of consecutive naturals, for example, 1610114 + ... + 1610166.

Almost surely, 2^85337420 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 85337420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109664352).

85337420 is an abundant number, since it is smaller than the sum of its proper divisors (133991284).

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

85337420 is a wasteful number, since it uses less digits than its factorization.

85337420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 85337420 is about 9237.8255017076. The cubic root of 85337420 is about 440.2639944675.

The spelling of 85337420 in words is "eighty-five million, three hundred thirty-seven thousand, four hundred twenty".