86430720 has 176 divisors, whose sum is σ = 293588928. Its totient is φ = 21626880.

The previous prime is 86430709. The next prime is 86430733. The reversal of 86430720 is 2703468.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 260955 + ... + 261285.

Almost surely, 2^86430720 is an apocalyptic number.

86430720 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 86430720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146794464).

86430720 is an abundant number, since it is smaller than the sum of its proper divisors (207158208).

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

86430720 is a wasteful number, since it uses less digits than its factorization.

86430720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 86430720 is about 9296.8123569318. The cubic root of 86430720 is about 442.1361687429.

The spelling of 86430720 in words is "eighty-six million, four hundred thirty thousand, seven hundred twenty".