1011987648 has 112 divisors (see below), whose sum is σ = 3400104960. Its totient is φ = 289135872.

The previous prime is 1011987643. The next prime is 1011987673. The reversal of 1011987648 is 8467891101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×1011987648³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1011987643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29736 + ... + 53927.

It is an arithmetic number, because the mean of its divisors is an integer number (30358080).

Almost surely, 2^1011987648 is an apocalyptic number.

1011987648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1011987648 is an abundant number, since it is smaller than the sum of its proper divisors (2388117312).

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

1011987648 is an equidigital number, since it uses as much as digits as its factorization.

1011987648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83691 (or 83675 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The square root of 1011987648 is about 31811.7532996847. The cubic root of 1011987648 is about 1003.9800210836.

The spelling of 1011987648 in words is "one billion, eleven million, nine hundred eighty-seven thousand, six hundred forty-eight".