85434696 has 128 divisors (see below), whose sum is σ = 256608000. Its totient is φ = 26256384.

The previous prime is 85434691. The next prime is 85434703. The reversal of 85434696 is 69643458.

It is a super-2 number, since 2×85434696² = 14598174561224832, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85434691) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 143776 + ... + 144368.

It is an arithmetic number, because the mean of its divisors is an integer number (2004750).

Almost surely, 2^85434696 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 85434696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128304000).

85434696 is an abundant number, since it is smaller than the sum of its proper divisors (171173304).

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

85434696 is a wasteful number, since it uses less digits than its factorization.

85434696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 650 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 85434696 is about 9243.0890940205. The cubic root of 85434696 is about 440.4312163723.

The spelling of 85434696 in words is "eighty-five million, four hundred thirty-four thousand, six hundred ninety-six".