86433984 has 336 divisors, whose sum is σ = 326184768. Its totient is φ = 21233664.

The previous prime is 86433943. The next prime is 86434031. The reversal of 86433984 is 48933468.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×86433984² = 14941667180224512, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 891024 + ... + 891120.

It is an arithmetic number, because the mean of its divisors is an integer number (970788).

Almost surely, 2^86433984 is an apocalyptic number.

86433984 is a gapful number since it is divisible by the number (84) 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 86433984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163092384).

86433984 is an abundant number, since it is smaller than the sum of its proper divisors (239750784).

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

86433984 is a wasteful number, since it uses less digits than its factorization.

86433984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 139 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 86433984 is about 9296.9878993145. The cubic root of 86433984 is about 442.1417343346.

The spelling of 86433984 in words is "eighty-six million, four hundred thirty-three thousand, nine hundred eighty-four".