8254296960 has 768 divisors, whose sum is σ = 34987256640. Its totient is φ = 1634992128.

The previous prime is 8254296907. The next prime is 8254297003. The reversal of 8254296960 is 696924528.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20791482 + ... + 20791878.

Almost surely, 2^8254296960 is an apocalyptic number.

8254296960 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 8254296960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17493628320).

8254296960 is an abundant number, since it is smaller than the sum of its proper divisors (26732959680).

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

8254296960 is a wasteful number, since it uses less digits than its factorization.

8254296960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The square root of 8254296960 is about 90853.1615300205. The cubic root of 8254296960 is about 2020.9707584478.

The spelling of 8254296960 in words is "eight billion, two hundred fifty-four million, two hundred ninety-six thousand, nine hundred sixty".