86488820 has 48 divisors (see below), whose sum is σ = 199717056. Its totient is φ = 31200000.

The previous prime is 86488819. The next prime is 86488823. The reversal of 86488820 is 2888468.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86488823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27320 + ... + 30320.

It is an arithmetic number, because the mean of its divisors is an integer number (4160772).

Almost surely, 2^86488820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86488820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99858528).

86488820 is an abundant number, since it is smaller than the sum of its proper divisors (113228236).

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

86488820 is a wasteful number, since it uses less digits than its factorization.

86488820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3152 (or 3150 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 44.

The square root of 86488820 is about 9299.9365589234. The cubic root of 86488820 is about 442.2352166955.

The spelling of 86488820 in words is "eighty-six million, four hundred eighty-eight thousand, eight hundred twenty".