8949961020 has 1152 divisors, whose sum is σ = 38438830080. Its totient is φ = 1505433600.

The previous prime is 8949960979. The next prime is 8949961057. The reversal of 8949961020 is 201699498.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 288708405 + ... + 288708435.

It is an arithmetic number, because the mean of its divisors is an integer number (33367040).

Almost surely, 2^8949961020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8949961020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19219415040).

8949961020 is an abundant number, since it is smaller than the sum of its proper divisors (29488869060).

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

8949961020 is a wasteful number, since it uses less digits than its factorization.

8949961020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 48.

The square root of 8949961020 is about 94604.2336261967. The cubic root of 8949961020 is about 2076.2216463242.

It can be divided in two parts, 8949 and 961020, that added together give a palindrome (969969).

The spelling of 8949961020 in words is "eight billion, nine hundred forty-nine million, nine hundred sixty-one thousand, twenty".