86333760 has 168 divisors, whose sum is σ = 306848256. Its totient is φ = 22256640.

The previous prime is 86333713. The next prime is 86333761. The reversal of 86333760 is 6733368.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86333761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88797 + ... + 89763.

Almost surely, 2^86333760 is an apocalyptic number.

86333760 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 86333760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153424128).

86333760 is an abundant number, since it is smaller than the sum of its proper divisors (220514496).

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

86333760 is a wasteful number, since it uses less digits than its factorization.

86333760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 86333760 is about 9291.5962030213. The cubic root of 86333760 is about 441.9707739867.

The spelling of 86333760 in words is "eighty-six million, three hundred thirty-three thousand, seven hundred sixty".