6098924160 has 560 divisors, whose sum is σ = 25410388410. Its totient is φ = 1394039808.

The previous prime is 6098924147. The next prime is 6098924177. The reversal of 6098924160 is 614298906.

It is a happy number.

6098924160 is a `hidden beast` number, since 60 + 98 + 92 + 416 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5489031744 + 609892416 = 74088^2 + 24696^2 .

It is a tau number, because it is divible by the number of its divisors (560).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 871274877 + ... + 871274883.

Almost surely, 2^6098924160 is an apocalyptic number.

6098924160 is a gapful number since it is divisible by the number (60) 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 6098924160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12705194205).

6098924160 is an abundant number, since it is smaller than the sum of its proper divisors (19311464250).

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

6098924160 is an frugal number, since it uses more digits than its factorization.

6098924160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 6098924160 is about 78095.6090955183. The cubic root of 6098924160 is about 1827.0527135009.

The spelling of 6098924160 in words is "six billion, ninety-eight million, nine hundred twenty-four thousand, one hundred sixty".