86211840 has 288 divisors, whose sum is σ = 325535616. Its totient is φ = 19169280.

The previous prime is 86211833. The next prime is 86211869. The reversal of 86211840 is 4811268.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 86211798 and 86211807.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 549042 + ... + 549198.

It is an arithmetic number, because the mean of its divisors is an integer number (1130332).

Almost surely, 2^86211840 is an apocalyptic number.

86211840 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 86211840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162767808).

86211840 is an abundant number, since it is smaller than the sum of its proper divisors (239323776).

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

86211840 is a wasteful number, since it uses less digits than its factorization.

86211840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 86211840 is about 9285.0331178731. The cubic root of 86211840 is about 441.7626265132.

The spelling of 86211840 in words is "eighty-six million, two hundred eleven thousand, eight hundred forty".