949886820 has 72 divisors (see below), whose sum is σ = 2909907000. Its totient is φ = 250790400.

The previous prime is 949886809. The next prime is 949886837. The reversal of 949886820 is 28688949.

It can be written as a sum of positive squares in 4 ways, for example, as 63872064 + 886014756 = 7992^2 + 29766^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7945 + ... + 44304.

It is an arithmetic number, because the mean of its divisors is an integer number (40415375).

Almost surely, 2^949886820 is an apocalyptic number.

949886820 is a gapful number since it is divisible by the number (90) 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 949886820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454953500).

949886820 is an abundant number, since it is smaller than the sum of its proper divisors (1960020180).

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

949886820 is a wasteful number, since it uses less digits than its factorization.

949886820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52365 (or 52360 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 949886820 is about 30820.2339381128. The cubic root of 949886820 is about 983.0085318800.

The spelling of 949886820 in words is "nine hundred forty-nine million, eight hundred eighty-six thousand, eight hundred twenty".