1960515144 has 256 divisors, whose sum is σ = 6490521600. Its totient is φ = 536544000.

The previous prime is 1960515127. The next prime is 1960515149. The reversal of 1960515144 is 4415150691.

1960515144 is a `hidden beast` number, since 1 + 9 + 605 + 1 + 5 + 1 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1960515099 and 1960515108.

It is not an unprimeable number, because it can be changed into a prime (1960515149) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7077534 + ... + 7077810.

It is an arithmetic number, because the mean of its divisors is an integer number (25353600).

Almost surely, 2^1960515144 is an apocalyptic number.

1960515144 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 1960515144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3245260800).

1960515144 is an abundant number, since it is smaller than the sum of its proper divisors (4530006456).

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

1960515144 is a wasteful number, since it uses less digits than its factorization.

1960515144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 1960515144 is about 44277.7048185653. The cubic root of 1960515144 is about 1251.5745797793.

The spelling of 1960515144 in words is "one billion, nine hundred sixty million, five hundred fifteen thousand, one hundred forty-four".