85347696 has 160 divisors (see below), whose sum is σ = 274982400. Its totient is φ = 22256640.

The previous prime is 85347673. The next prime is 85347719. The reversal of 85347696 is 69674358.

It is an interprime number because it is at equal distance from previous prime (85347673) and next prime (85347719).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 184906 + ... + 185366.

It is an arithmetic number, because the mean of its divisors is an integer number (1718640).

Almost surely, 2^85347696 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 85347696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137491200).

85347696 is an abundant number, since it is smaller than the sum of its proper divisors (189634704).

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

85347696 is a wasteful number, since it uses less digits than its factorization.

85347696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 521 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 48.

The square root of 85347696 is about 9238.3816764626. The cubic root of 85347696 is about 440.2816653839.

The spelling of 85347696 in words is "eighty-five million, three hundred forty-seven thousand, six hundred ninety-six".