85346976 has 96 divisors (see below), whose sum is σ = 263245248. Its totient is φ = 23869440.

The previous prime is 85346969. The next prime is 85346977. The reversal of 85346976 is 67964358.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (85346977) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10620 + ... + 16836.

It is an arithmetic number, because the mean of its divisors is an integer number (2742138).

Almost surely, 2^85346976 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 85346976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131622624).

85346976 is an abundant number, since it is smaller than the sum of its proper divisors (177898272).

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

85346976 is a wasteful number, since it uses less digits than its factorization.

85346976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6254 (or 6246 counting only the distinct ones).

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

The square root of 85346976 is about 9238.3427085165. The cubic root of 85346976 is about 440.2804272966.

The spelling of 85346976 in words is "eighty-five million, three hundred forty-six thousand, nine hundred seventy-six".