866377248 has 96 divisors (see below), whose sum is σ = 2588931072. Its totient is φ = 251116800.

The previous prime is 866377247. The next prime is 866377261. The reversal of 866377248 is 842773668.

866377248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 866377248.

It is not an unprimeable number, because it can be changed into a prime (866377241) 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, 6453 + ... + 42123.

It is an arithmetic number, because the mean of its divisors is an integer number (26968032).

Almost surely, 2^866377248 is an apocalyptic number.

866377248 is a gapful number since it is divisible by the number (88) 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 866377248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1294465536).

866377248 is an abundant number, since it is smaller than the sum of its proper divisors (1722553824).

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

866377248 is a wasteful number, since it uses less digits than its factorization.

866377248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35718 (or 35710 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 51.

The square root of 866377248 is about 29434.2869456693. The cubic root of 866377248 is about 953.3133604088.

The spelling of 866377248 in words is "eight hundred sixty-six million, three hundred seventy-seven thousand, two hundred forty-eight".