8606949120 has 864 divisors, whose sum is σ = 38447345664. Its totient is φ = 1725235200.

The previous prime is 8606949107. The next prime is 8606949133. The reversal of 8606949120 is 219496068.

It is a happy number.

8606949120 is a `hidden beast` number, since 86 + 0 + 69 + 491 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (8606949107) and next prime (8606949133).

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 95 ways as a sum of consecutive naturals, for example, 27498084 + ... + 27498396.

Almost surely, 2^8606949120 is an apocalyptic number.

8606949120 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 8606949120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19223672832).

8606949120 is an abundant number, since it is smaller than the sum of its proper divisors (29840396544).

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

8606949120 is a wasteful number, since it uses less digits than its factorization.

8606949120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 372 counting only the distinct ones).

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

The square root of 8606949120 is about 92773.6445333479. The cubic root of 8606949120 is about 2049.3513013914.

The spelling of 8606949120 in words is "eight billion, six hundred six million, nine hundred forty-nine thousand, one hundred twenty".