86794848 has 192 divisors, whose sum is σ = 294174720. Its totient is φ = 24385536.

The previous prime is 86794837. The next prime is 86794849. The reversal of 86794848 is 84849768.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (3096576) is a multiple of the sum of its prime divisors (252).

It is a zygodrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 86794794 and 86794803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86794849) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 683361 + ... + 683487.

It is an arithmetic number, because the mean of its divisors is an integer number (1532160).

Almost surely, 2^86794848 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 86794848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147087360).

86794848 is an abundant number, since it is smaller than the sum of its proper divisors (207379872).

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

86794848 is a wasteful number, since it uses less digits than its factorization.

86794848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 252 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 86794848 is about 9316.3752607975. The cubic root of 86794848 is about 442.7561975164.

The spelling of 86794848 in words is "eighty-six million, seven hundred ninety-four thousand, eight hundred forty-eight".