86949792 has 72 divisors (see below), whose sum is σ = 255265920. Its totient is φ = 28045440.

The previous prime is 86949791. The next prime is 86949803. The reversal of 86949792 is 29794968.

86949792 is a `hidden beast` number, since 8 + 69 + 497 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (86949791) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4059 + ... + 13797.

It is an arithmetic number, because the mean of its divisors is an integer number (3545360).

Almost surely, 2^86949792 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 86949792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127632960).

86949792 is an abundant number, since it is smaller than the sum of its proper divisors (168316128).

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

86949792 is a wasteful number, since it uses less digits than its factorization.

86949792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9786 (or 9775 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 86949792 is about 9324.6872333607. The cubic root of 86949792 is about 443.0195066714.

The spelling of 86949792 in words is "eighty-six million, nine hundred forty-nine thousand, seven hundred ninety-two".