8460911340 has 288 divisors, whose sum is σ = 30635404800. Its totient is φ = 1888354944.

The previous prime is 8460911311. The next prime is 8460911341. The reversal of 8460911340 is 431190648.

8460911340 is a `hidden beast` number, since 8 + 4 + 609 + 1 + 1 + 3 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8460911295 and 8460911304.

It is not an unprimeable number, because it can be changed into a prime (8460911341) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2653227 + ... + 2656413.

Almost surely, 2^8460911340 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 8460911340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15317702400).

8460911340 is an abundant number, since it is smaller than the sum of its proper divisors (22174493460).

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

8460911340 is a wasteful number, since it uses less digits than its factorization.

8460911340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3266 (or 3247 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 8460911340 is about 91983.2122726751. The cubic root of 8460911340 is about 2037.6943818966.

The spelling of 8460911340 in words is "eight billion, four hundred sixty million, nine hundred eleven thousand, three hundred forty".