86220288 has 320 divisors, whose sum is σ = 322122240. Its totient is φ = 22394880.

The previous prime is 86220287. The next prime is 86220301. The reversal of 86220288 is 88202268.

86220288 is a `hidden beast` number, since 8 + 622 + 0 + 28 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86220287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7838203 + ... + 7838213.

It is an arithmetic number, because the mean of its divisors is an integer number (1006632).

Almost surely, 2^86220288 is an apocalyptic number.

86220288 is a gapful number since it is divisible by the number (88) 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 86220288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161061120).

86220288 is an abundant number, since it is smaller than the sum of its proper divisors (235901952).

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

86220288 is an frugal number, since it uses more digits than its factorization.

86220288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 86220288 is about 9285.4880324084. The cubic root of 86220288 is about 441.7770556557. Note that the first 3 decimals are identical.

The spelling of 86220288 in words is "eighty-six million, two hundred twenty thousand, two hundred eighty-eight".