1026627840 has 432 divisors, whose sum is σ = 4209004800. Its totient is φ = 226050048.

The previous prime is 1026627809. The next prime is 1026627851. The reversal of 1026627840 is 487266201.

1026627840 is a `hidden beast` number, since 1 + 0 + 26 + 627 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1026627795 and 1026627804.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2338341 + ... + 2338779.

Almost surely, 2^1026627840 is an apocalyptic number.

1026627840 is a gapful number since it is divisible by the number (10) 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 1026627840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2104502400).

1026627840 is an abundant number, since it is smaller than the sum of its proper divisors (3182376960).

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

1026627840 is a wasteful number, since it uses less digits than its factorization.

1026627840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1026627840 is about 32041.0336911904. The cubic root of 1026627840 is about 1008.7983093921.

The spelling of 1026627840 in words is "one billion, twenty-six million, six hundred twenty-seven thousand, eight hundred forty".