86493120 has 224 divisors, whose sum is σ = 320503296. Its totient is φ = 19353600.

The previous prime is 86493103. The next prime is 86493151. The reversal of 86493120 is 2139468.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 409815 + ... + 410025.

Almost surely, 2^86493120 is an apocalyptic number.

86493120 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 86493120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160251648).

86493120 is an abundant number, since it is smaller than the sum of its proper divisors (234010176).

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

86493120 is a wasteful number, since it uses less digits than its factorization.

86493120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 86493120 is about 9300.1677404228. The cubic root of 86493120 is about 442.2425455037.

The spelling of 86493120 in words is "eighty-six million, four hundred ninety-three thousand, one hundred twenty".