8112867840 has 960 divisors, whose sum is σ = 37228688640. Its totient is φ = 1580728320.

The previous prime is 8112867839. The next prime is 8112867853. The reversal of 8112867840 is 487682118.

It is a tau number, because it is divible by the number of its divisors (960).

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

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 95 ways as a sum of consecutive naturals, for example, 30159226 + ... + 30159494.

It is an arithmetic number, because the mean of its divisors is an integer number (38779884).

Almost surely, 2^8112867840 is an apocalyptic number.

8112867840 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 8112867840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18614344320).

8112867840 is an abundant number, since it is smaller than the sum of its proper divisors (29115820800).

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

8112867840 is a wasteful number, since it uses less digits than its factorization.

8112867840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The square root of 8112867840 is about 90071.4596306732. The cubic root of 8112867840 is about 2009.3617636499.

The spelling of 8112867840 in words is "eight billion, one hundred twelve million, eight hundred sixty-seven thousand, eight hundred forty".