950564160 has 840 divisors, whose sum is σ = 4319479296. Its totient is φ = 194088960.

The previous prime is 950564141. The next prime is 950564161. The reversal of 950564160 is 61465059.

950564160 is a `hidden beast` number, since 9 + 5 + 0 + 5 + 641 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (950564161) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 30663345 + ... + 30663375.

Almost surely, 2^950564160 is an apocalyptic number.

950564160 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 950564160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2159739648).

950564160 is an abundant number, since it is smaller than the sum of its proper divisors (3368915136).

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

950564160 is a wasteful number, since it uses less digits than its factorization.

950564160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 950564160 is about 30831.2205402251. The cubic root of 950564160 is about 983.2421291133.

The spelling of 950564160 in words is "nine hundred fifty million, five hundred sixty-four thousand, one hundred sixty".