1010937984 has 128 divisors (see below), whose sum is σ = 3144113280. Its totient is φ = 281763840.

The previous prime is 1010937947. The next prime is 1010937989. The reversal of 1010937984 is 4897390101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1010937989) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105622 + ... + 114794.

It is an arithmetic number, because the mean of its divisors is an integer number (24563385).

Almost surely, 2^1010937984 is an apocalyptic number.

1010937984 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 1010937984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572056640).

1010937984 is an abundant number, since it is smaller than the sum of its proper divisors (2133175296).

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

1010937984 is an equidigital number, since it uses as much as digits as its factorization.

1010937984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9238 (or 9226 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 1010937984 is about 31795.2509661427. The cubic root of 1010937984 is about 1003.6327815839.

The spelling of 1010937984 in words is "one billion, ten million, nine hundred thirty-seven thousand, nine hundred eighty-four".