86296000 has 224 divisors, whose sum is σ = 258665472. Its totient is φ = 27878400.

The previous prime is 86295997. The next prime is 86296019. The reversal of 86296000 is 69268.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1287967 + ... + 1288033.

Almost surely, 2^86296000 is an apocalyptic number.

86296000 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 86296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129332736).

86296000 is an abundant number, since it is smaller than the sum of its proper divisors (172369472).

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

86296000 is a wasteful number, since it uses less digits than its factorization.

86296000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 86296000 is about 9289.5640371333. The cubic root of 86296000 is about 441.9063293241.

The spelling of 86296000 in words is "eighty-six million, two hundred ninety-six thousand".