86573120 has 112 divisors (see below), whose sum is σ = 224942400. Its totient is φ = 31610880.

The previous prime is 86573087. The next prime is 86573131. The reversal of 86573120 is 2137568.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 176075 + ... + 176565.

Almost surely, 2^86573120 is an apocalyptic number.

86573120 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 86573120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112471200).

86573120 is an abundant number, since it is smaller than the sum of its proper divisors (138369280).

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

86573120 is a wasteful number, since it uses less digits than its factorization.

86573120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 86573120 is about 9304.4677440464. The cubic root of 86573120 is about 442.3788511484.

The spelling of 86573120 in words is "eighty-six million, five hundred seventy-three thousand, one hundred twenty".