86922000 has 240 divisors, whose sum is σ = 331943040. Its totient is φ = 21024000.

The previous prime is 86921983. The next prime is 86922001. The reversal of 86922000 is 22968.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (86922001) by changing a digit.

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, 197781 + ... + 198219.

It is an arithmetic number, because the mean of its divisors is an integer number (1383096).

Almost surely, 2^86922000 is an apocalyptic number.

86922000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86922000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165971520).

86922000 is an abundant number, since it is smaller than the sum of its proper divisors (245021040).

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

86922000 is a wasteful number, since it uses less digits than its factorization.

86922000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 86922000 is about 9323.1968766084. The cubic root of 86922000 is about 442.9723004624.

Adding to 86922000 its reverse (22968), we get a palindrome (86944968).

The spelling of 86922000 in words is "eighty-six million, nine hundred twenty-two thousand".