85309740 has 96 divisors (see below), whose sum is σ = 281050560. Its totient is φ = 21408768.

The previous prime is 85309733. The next prime is 85309759. The reversal of 85309740 is 4790358.

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

It is a junction number, because it is equal to n+sod(n) for n = 85309695 and 85309704.

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 31 ways as a sum of consecutive naturals, for example, 4534 + ... + 13826.

It is an arithmetic number, because the mean of its divisors is an integer number (2927610).

Almost surely, 2^85309740 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 85309740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140525280).

85309740 is an abundant number, since it is smaller than the sum of its proper divisors (195740820).

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

85309740 is a wasteful number, since it uses less digits than its factorization.

85309740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9328 (or 9320 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 85309740 is about 9236.3271921257. The cubic root of 85309740 is about 440.2163880552.

The spelling of 85309740 in words is "eighty-five million, three hundred nine thousand, seven hundred forty".