86394672 has 240 divisors, whose sum is σ = 314146560. Its totient is φ = 21523968.

The previous prime is 86394661. The next prime is 86394701. The reversal of 86394672 is 27649368.

86394672 is a `hidden beast` number, since 8 + 639 + 4 + 6 + 7 + 2 = 666.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 248803 + ... + 249149.

It is an arithmetic number, because the mean of its divisors is an integer number (1308944).

Almost surely, 2^86394672 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 86394672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157073280).

86394672 is an abundant number, since it is smaller than the sum of its proper divisors (227751888).

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

86394672 is a wasteful number, since it uses less digits than its factorization.

86394672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 391 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 86394672 is about 9294.8734257116. The cubic root of 86394672 is about 442.0746923723.

The spelling of 86394672 in words is "eighty-six million, three hundred ninety-four thousand, six hundred seventy-two".