8498260800 has 420 divisors, whose sum is σ = 32607052896. Its totient is φ = 2166912000.

The previous prime is 8498260783. The next prime is 8498260817. The reversal of 8498260800 is 80628948.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8498260783) and next prime (8498260817).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2979375 + ... + 2982225.

Almost surely, 2^8498260800 is an apocalyptic number.

8498260800 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 8498260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16303526448).

8498260800 is an abundant number, since it is smaller than the sum of its proper divisors (24108792096).

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

8498260800 is a wasteful number, since it uses less digits than its factorization.

8498260800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2908 (or 2884 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 8498260800 is about 92186.0119540920. The cubic root of 8498260800 is about 2040.6883490219.

The spelling of 8498260800 in words is "eight billion, four hundred ninety-eight million, two hundred sixty thousand, eight hundred".