86352480 has 144 divisors (see below), whose sum is σ = 305729424. Its totient is φ = 23016960.

The previous prime is 86352479. The next prime is 86352491. The reversal of 86352480 is 8425368.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 37770 + ... + 39990.

It is an arithmetic number, because the mean of its divisors is an integer number (2123121).

Almost surely, 2^86352480 is an apocalyptic number.

86352480 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 86352480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152864712).

86352480 is an abundant number, since it is smaller than the sum of its proper divisors (219376944).

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

86352480 is a wasteful number, since it uses less digits than its factorization.

86352480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2251 (or 2231 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 86352480 is about 9292.6035103194. The cubic root of 86352480 is about 442.0027162804.

The spelling of 86352480 in words is "eighty-six million, three hundred fifty-two thousand, four hundred eighty".