1949879168 has 48 divisors (see below), whose sum is σ = 4015560480. Its totient is φ = 942144000.

The previous prime is 1949879143. The next prime is 1949879179. The reversal of 1949879168 is 8619789491.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a self number, because there is not a number n which added to its sum of digits gives 1949879168.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2781218 + ... + 2781918.

It is an arithmetic number, because the mean of its divisors is an integer number (83657510).

Almost surely, 2^1949879168 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 1949879168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2007780240).

1949879168 is an abundant number, since it is smaller than the sum of its proper divisors (2065681312).

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

1949879168 is an frugal number, since it uses more digits than its factorization.

1949879168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447 (or 734 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 62.

The square root of 1949879168 is about 44157.4361574582. The cubic root of 1949879168 is about 1249.3071719023.

Multiplying 1949879168 by its sum of digits (62), we get a square (120892508416 = 347696²).

1949879168 divided by its sum of digits (62) gives a square (31449664 = 5608²).

The spelling of 1949879168 in words is "one billion, nine hundred forty-nine million, eight hundred seventy-nine thousand, one hundred sixty-eight".