86211930 has 256 divisors, whose sum is σ = 278691840. Its totient is φ = 16588800.

The previous prime is 86211919. The next prime is 86211941. The reversal of 86211930 is 3911268.

It is an interprime number because it is at equal distance from previous prime (86211919) and next prime (86211941).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2102710 + ... + 2102750.

It is an arithmetic number, because the mean of its divisors is an integer number (1088640).

Almost surely, 2^86211930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86211930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139345920).

86211930 is an abundant number, since it is smaller than the sum of its proper divisors (192479910).

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

86211930 is a wasteful number, since it uses less digits than its factorization.

86211930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125.

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 86211930 is about 9285.0379643812. The cubic root of 86211930 is about 441.7627802377.

The spelling of 86211930 in words is "eighty-six million, two hundred eleven thousand, nine hundred thirty".