85692048 has 80 divisors (see below), whose sum is σ = 241234560. Its totient is φ = 26053632.

The previous prime is 85692017. The next prime is 85692083. The reversal of 85692048 is 84029658.

It is a Cunningham number, because it is equal to 9257²-1.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54765 + ... + 56307.

It is an arithmetic number, because the mean of its divisors is an integer number (3015432).

Almost surely, 2^85692048 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 85692048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120617280).

85692048 is an abundant number, since it is smaller than the sum of its proper divisors (155542512).

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

85692048 is a wasteful number, since it uses less digits than its factorization.

85692048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 85692048 is about 9256.9999459868. Note that the first 4 decimals coincide. The cubic root of 85692048 is about 440.8730050152.

The spelling of 85692048 in words is "eighty-five million, six hundred ninety-two thousand, forty-eight".