86412480 has 336 divisors, whose sum is σ = 350251776. Its totient is φ = 17848320.

The previous prime is 86412457. The next prime is 86412481. The reversal of 86412480 is 8421468.

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

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86412481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 517357 + ... + 517523.

It is an arithmetic number, because the mean of its divisors is an integer number (1042416).

Almost surely, 2^86412480 is an apocalyptic number.

86412480 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 86412480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175125888).

86412480 is an abundant number, since it is smaller than the sum of its proper divisors (263839296).

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

86412480 is a wasteful number, since it uses less digits than its factorization.

86412480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 86412480 is about 9295.8313237709. The cubic root of 86412480 is about 442.1050643274.

The spelling of 86412480 in words is "eighty-six million, four hundred twelve thousand, four hundred eighty".