8619549120 has 896 divisors, whose sum is σ = 39463065600. Its totient is φ = 1719926784.

The previous prime is 8619549091. The next prime is 8619549131. The reversal of 8619549120 is 219459168.

8619549120 is a `hidden beast` number, since 8 + 619 + 5 + 4 + 9 + 1 + 20 = 666.

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 127 ways as a sum of consecutive naturals, for example, 14938272 + ... + 14938848.

It is an arithmetic number, because the mean of its divisors is an integer number (44043600).

Almost surely, 2^8619549120 is an apocalyptic number.

8619549120 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 8619549120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19731532800).

8619549120 is an abundant number, since it is smaller than the sum of its proper divisors (30843516480).

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

8619549120 is a wasteful number, since it uses less digits than its factorization.

8619549120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 8619549120 is about 92841.5269154919. The cubic root of 8619549120 is about 2050.3508517082.

The spelling of 8619549120 in words is "eight billion, six hundred nineteen million, five hundred forty-nine thousand, one hundred twenty".