86011380 has 288 divisors, whose sum is σ = 330220800. Its totient is φ = 17639424.

The previous prime is 86011379. The next prime is 86011411. The reversal of 86011380 is 8311068.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 966376 + ... + 966464.

It is an arithmetic number, because the mean of its divisors is an integer number (1146600).

Almost surely, 2^86011380 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 86011380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165110400).

86011380 is an abundant number, since it is smaller than the sum of its proper divisors (244209420).

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

86011380 is a wasteful number, since it uses less digits than its factorization.

86011380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 86011380 is about 9274.2320436789. The cubic root of 86011380 is about 441.4199649113.

The spelling of 86011380 in words is "eighty-six million, eleven thousand, three hundred eighty".