86690880 has 168 divisors, whose sum is σ = 308116224. Its totient is φ = 22348800.

The previous prime is 86690867. The next prime is 86690893. The reversal of 86690880 is 8809668.

It is an interprime number because it is at equal distance from previous prime (86690867) and next prime (86690893).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88795 + ... + 89765.

Almost surely, 2^86690880 is an apocalyptic number.

86690880 is a gapful number since it is divisible by the number (80) 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 86690880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154058112).

86690880 is an abundant number, since it is smaller than the sum of its proper divisors (221425344).

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

86690880 is a wasteful number, since it uses less digits than its factorization.

86690880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 86690880 is about 9310.7937363041. The cubic root of 86690880 is about 442.5793403650.

The spelling of 86690880 in words is "eighty-six million, six hundred ninety thousand, eight hundred eighty".