866261760 has 576 divisors, whose sum is σ = 3549299712. Its totient is φ = 175177728.

The previous prime is 866261717. The next prime is 866261771. The reversal of 866261760 is 67162668.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12929247 + ... + 12929313.

Almost surely, 2^866261760 is an apocalyptic number.

866261760 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 866261760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774649856).

866261760 is an abundant number, since it is smaller than the sum of its proper divisors (2683037952).

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

866261760 is a wasteful number, since it uses less digits than its factorization.

866261760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 866261760 is about 29432.3250865439. The cubic root of 866261760 is about 953.2709996681.

The spelling of 866261760 in words is "eight hundred sixty-six million, two hundred sixty-one thousand, seven hundred sixty".