1026645984 has 288 divisors, whose sum is σ = 3680861184. Its totient is φ = 264176640.

The previous prime is 1026645979. The next prime is 1026646069. The reversal of 1026645984 is 4895466201.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 47 ways as a sum of consecutive naturals, for example, 1126489 + ... + 1127399.

It is an arithmetic number, because the mean of its divisors is an integer number (12780768).

Almost surely, 2^1026645984 is an apocalyptic number.

1026645984 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 1026645984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1840430592).

1026645984 is an abundant number, since it is smaller than the sum of its proper divisors (2654215200).

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

1026645984 is a wasteful number, since it uses less digits than its factorization.

1026645984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 1026645984 is about 32041.3168268721. The cubic root of 1026645984 is about 1008.8042523209.

The spelling of 1026645984 in words is "one billion, twenty-six million, six hundred forty-five thousand, nine hundred eighty-four".