952382160 has 360 divisors, whose sum is σ = 3563164800. Its totient is φ = 227487744.

The previous prime is 952382149. The next prime is 952382161. The reversal of 952382160 is 61283259.

It is a tau number, because it is divible by the number of its divisors (360).

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 (952382161) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4785741 + ... + 4785939.

It is an arithmetic number, because the mean of its divisors is an integer number (9897680).

Almost surely, 2^952382160 is an apocalyptic number.

952382160 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 952382160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1781582400).

952382160 is an abundant number, since it is smaller than the sum of its proper divisors (2610782640).

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

952382160 is a wasteful number, since it uses less digits than its factorization.

952382160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 952382160 is about 30860.6895580770. The cubic root of 952382160 is about 983.8685626543.

The spelling of 952382160 in words is "nine hundred fifty-two million, three hundred eighty-two thousand, one hundred sixty".