8051460960 has 384 divisors, whose sum is σ = 27590492160. Its totient is φ = 1968429056.

The previous prime is 8051460941. The next prime is 8051461003. The reversal of 8051460960 is 690641508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30613789 + ... + 30614051.

It is an arithmetic number, because the mean of its divisors is an integer number (71850240).

Almost surely, 2^8051460960 is an apocalyptic number.

8051460960 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 8051460960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13795246080).

8051460960 is an abundant number, since it is smaller than the sum of its proper divisors (19539031200).

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

8051460960 is a wasteful number, since it uses less digits than its factorization.

8051460960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 8051460960 is about 89729.9334670432. The cubic root of 8051460960 is about 2004.2792508095.

The spelling of 8051460960 in words is "eight billion, fifty-one million, four hundred sixty thousand, nine hundred sixty".