86797620 has 216 divisors, whose sum is σ = 330266664. Its totient is φ = 18289152.

The previous prime is 86797591. The next prime is 86797639. The reversal of 86797620 is 2679768.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2965284 + 83832336 = 1722^2 + 9156^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 71 ways as a sum of consecutive naturals, for example, 114282 + ... + 115038.

Almost surely, 2^86797620 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 86797620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165133332).

86797620 is an abundant number, since it is smaller than the sum of its proper divisors (243469044).

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

86797620 is a wasteful number, since it uses less digits than its factorization.

86797620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 86797620 is about 9316.5240299159. The cubic root of 86797620 is about 442.7609109571.

The spelling of 86797620 in words is "eighty-six million, seven hundred ninety-seven thousand, six hundred twenty".