86899410 has 144 divisors (see below), whose sum is σ = 259478856. Its totient is φ = 20054016.

The previous prime is 86899409. The next prime is 86899411. The reversal of 86899410 is 1499868.

86899410 = 1781² + 1782² + ... + 1807².

It is an interprime number because it is at equal distance from previous prime (86899409) and next prime (86899411).

It can be written as a sum of positive squares in 12 ways, for example, as 40564161 + 46335249 = 6369^2 + 6807^2 .

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

It is not an unprimeable number, because it can be changed into a prime (86899411) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 338002 + ... + 338258.

Almost surely, 2^86899410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86899410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129739428).

86899410 is an abundant number, since it is smaller than the sum of its proper divisors (172579446).

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

86899410 is a wasteful number, since it uses less digits than its factorization.

86899410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 86899410 is about 9321.9853035713. The cubic root of 86899410 is about 442.9339227165.

The spelling of 86899410 in words is "eighty-six million, eight hundred ninety-nine thousand, four hundred ten".