8460261600 has 216 divisors, whose sum is σ = 32034621528. Its totient is φ = 1933747200.

The previous prime is 8460261521. The next prime is 8460261631. The reversal of 8460261600 is 61620648.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 81630 + ... + 153570.

It is an arithmetic number, because the mean of its divisors is an integer number (148308433).

Almost surely, 2^8460261600 is an apocalyptic number.

8460261600 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 8460261600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16017310764).

8460261600 is an abundant number, since it is smaller than the sum of its proper divisors (23574359928).

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

8460261600 is a wasteful number, since it uses less digits than its factorization.

8460261600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71978 (or 71958 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 8460261600 is about 91979.6803647414. The cubic root of 8460261600 is about 2037.6422202406.

The spelling of 8460261600 in words is "eight billion, four hundred sixty million, two hundred sixty-one thousand, six hundred".