1011957984 has 72 divisors (see below), whose sum is σ = 2892380400. Its totient is φ = 335605248.

The previous prime is 1011957983. The next prime is 1011958009. The reversal of 1011957984 is 4897591101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1011957984² = 2048117922762688512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011957983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48484 + ... + 66140.

It is an arithmetic number, because the mean of its divisors is an integer number (40171950).

Almost surely, 2^1011957984 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 1011957984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446190200).

1011957984 is an abundant number, since it is smaller than the sum of its proper divisors (1880422416).

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

1011957984 is a wasteful number, since it uses less digits than its factorization.

1011957984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17872 (or 17861 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 45.

The square root of 1011957984 is about 31811.2870534972. The cubic root of 1011957984 is about 1003.9702112292.

The spelling of 1011957984 in words is "one billion, eleven million, nine hundred fifty-seven thousand, nine hundred eighty-four".