1958268960 has 336 divisors, whose sum is σ = 7046754624. Its totient is φ = 513962496.

The previous prime is 1958268943. The next prime is 1958268979. The reversal of 1958268960 is 698628591.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1958268897 and 1958268906.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 12013839 + ... + 12014001.

It is an arithmetic number, because the mean of its divisors is an integer number (20972484).

Almost surely, 2^1958268960 is an apocalyptic number.

1958268960 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 1958268960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3523377312).

1958268960 is an abundant number, since it is smaller than the sum of its proper divisors (5088485664).

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

1958268960 is a wasteful number, since it uses less digits than its factorization.

1958268960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The square root of 1958268960 is about 44252.3328198639. The cubic root of 1958268960 is about 1251.0964161495.

The spelling of 1958268960 in words is "one billion, nine hundred fifty-eight million, two hundred sixty-eight thousand, nine hundred sixty".