1026026640 has 120 divisors (see below), whose sum is σ = 3529883448. Its totient is φ = 266926080.

The previous prime is 1026026633. The next prime is 1026026663. The reversal of 1026026640 is 466206201.

It is a happy number.

1026026640 is a `hidden beast` number, since 10 + 2 + 6 + 0 + 2 + 6 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9437184 + 1016589456 = 3072^2 + 31884^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12142 + ... + 46898.

Almost surely, 2^1026026640 is an apocalyptic number.

1026026640 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 1026026640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1764941724).

1026026640 is an abundant number, since it is smaller than the sum of its proper divisors (2503856808).

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

1026026640 is a wasteful number, since it uses less digits than its factorization.

1026026640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34817 (or 34808 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1026026640 is about 32031.6505974950. The cubic root of 1026026640 is about 1008.6013513038.

The spelling of 1026026640 in words is "one billion, twenty-six million, twenty-six thousand, six hundred forty".