1949538960 has 120 divisors (see below), whose sum is σ = 6575867064. Its totient is φ = 517601280.

The previous prime is 1949538923. The next prime is 1949538961. The reversal of 1949538960 is 698359491.

1949538960 is a `hidden beast` number, since 1 + 9 + 49 + 538 + 9 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16353936 + 1933185024 = 4044^2 + 43968^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 1949538897 and 1949538906.

It is not an unprimeable number, because it can be changed into a prime (1949538961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161950 + ... + 173570.

Almost surely, 2^1949538960 is an apocalyptic number.

1949538960 is a gapful number since it is divisible by the number (10) 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 1949538960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3287933532).

1949538960 is an abundant number, since it is smaller than the sum of its proper divisors (4626328104).

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

1949538960 is a wasteful number, since it uses less digits than its factorization.

1949538960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11873 (or 11864 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The square root of 1949538960 is about 44153.5837730076. The cubic root of 1949538960 is about 1249.2345094484.

The spelling of 1949538960 in words is "one billion, nine hundred forty-nine million, five hundred thirty-eight thousand, nine hundred sixty".