949142160 has 240 divisors, whose sum is σ = 3332197440. Its totient is φ = 241812480.

The previous prime is 949142153. The next prime is 949142177. The reversal of 949142160 is 61241949.

It is a happy number.

949142160 is a `hidden beast` number, since 9 + 491 + 4 + 2 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2735107 + ... + 2735453.

It is an arithmetic number, because the mean of its divisors is an integer number (13884156).

Almost surely, 2^949142160 is an apocalyptic number.

949142160 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 949142160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666098720).

949142160 is an abundant number, since it is smaller than the sum of its proper divisors (2383055280).

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

949142160 is a wasteful number, since it uses less digits than its factorization.

949142160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 949142160 is about 30808.1508695345. The cubic root of 949142160 is about 982.7515895138.

The spelling of 949142160 in words is "nine hundred forty-nine million, one hundred forty-two thousand, one hundred sixty".