950505816 has 128 divisors (see below), whose sum is σ = 2664990720. Its totient is φ = 280610304.

The previous prime is 950505781. The next prime is 950505817. The reversal of 950505816 is 618505059.

It is a super-2 number, since 2×950505816² = 1806922612499651712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (950505817) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 776581 + ... + 777803.

It is an arithmetic number, because the mean of its divisors is an integer number (20820240).

Almost surely, 2^950505816 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 950505816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332495360).

950505816 is an abundant number, since it is smaller than the sum of its proper divisors (1714484904).

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

950505816 is a wasteful number, since it uses less digits than its factorization.

950505816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 39.

The square root of 950505816 is about 30830.2743419516. The cubic root of 950505816 is about 983.2220121291. Note that the first 3 decimals are identical.

The spelling of 950505816 in words is "nine hundred fifty million, five hundred five thousand, eight hundred sixteen".