1960949144 has 128 divisors (see below), whose sum is σ = 4896460800. Its totient is φ = 713664000.

The previous prime is 1960949129. The next prime is 1960949149. The reversal of 1960949144 is 4419490691.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1960949149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 552014 + ... + 555554.

It is an arithmetic number, because the mean of its divisors is an integer number (38253600).

Almost surely, 2^1960949144 is an apocalyptic number.

1960949144 is a gapful number since it is divisible by the number (14) 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 1960949144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2448230400).

1960949144 is an abundant number, since it is smaller than the sum of its proper divisors (2935511656).

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

1960949144 is a wasteful number, since it uses less digits than its factorization.

1960949144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3625 (or 3621 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 47.

The square root of 1960949144 is about 44282.6054337366. The cubic root of 1960949144 is about 1251.6669268159. Note that the first 3 decimals are identical.

The spelling of 1960949144 in words is "one billion, nine hundred sixty million, nine hundred forty-nine thousand, one hundred forty-four".