1957969888 has 96 divisors (see below), whose sum is σ = 4484325888. Its totient is φ = 824256000.

The previous prime is 1957969879. The next prime is 1957969901. The reversal of 1957969888 is 8889697591.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3618898 + ... + 3619438.

It is an arithmetic number, because the mean of its divisors is an integer number (46711728).

Almost surely, 2^1957969888 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 1957969888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2242162944).

1957969888 is an abundant number, since it is smaller than the sum of its proper divisors (2526356000).

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

1957969888 is a wasteful number, since it uses less digits than its factorization.

1957969888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 808 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 70.

The square root of 1957969888 is about 44248.9535243490. The cubic root of 1957969888 is about 1251.0327226588.

The spelling of 1957969888 in words is "one billion, nine hundred fifty-seven million, nine hundred sixty-nine thousand, eight hundred eighty-eight".