866419920 has 60 divisors (see below), whose sum is σ = 2909729316. Its totient is φ = 231045120.

The previous prime is 866419907. The next prime is 866419933. The reversal of 866419920 is 29914668.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (866419907) and next prime (866419933).

It can be written as a sum of positive squares in 2 ways, for example, as 155451024 + 710968896 = 12468^2 + 26664^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 600961 + ... + 602400.

Almost surely, 2^866419920 is an apocalyptic number.

866419920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

866419920 is an abundant number, since it is smaller than the sum of its proper divisors (2043309396).

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

866419920 is a wasteful number, since it uses less digits than its factorization.

866419920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1203380 (or 1203371 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 866419920 is about 29435.0118056712. The cubic root of 866419920 is about 953.3290114507.

The spelling of 866419920 in words is "eight hundred sixty-six million, four hundred nineteen thousand, nine hundred twenty".