86820880 has 40 divisors (see below), whose sum is σ = 212486400. Its totient is φ = 32899968.

The previous prime is 86820847. The next prime is 86820889. The reversal of 86820880 is 8802868.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×86820880³ (a number of 25 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (40) 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 (40).

It is not an unprimeable number, because it can be changed into a prime (86820889) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27040 + ... + 30079.

It is an arithmetic number, because the mean of its divisors is an integer number (5312160).

Almost surely, 2^86820880 is an apocalyptic number.

86820880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86820880 is an abundant number, since it is smaller than the sum of its proper divisors (125665520).

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

86820880 is a wasteful number, since it uses less digits than its factorization.

86820880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57151 (or 57145 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 40.

The square root of 86820880 is about 9317.7722659443. The cubic root of 86820880 is about 442.8004577365.

The spelling of 86820880 in words is "eighty-six million, eight hundred twenty thousand, eight hundred eighty".