1026261040 has 80 divisors (see below), whose sum is σ = 2743895808. Its totient is φ = 349671168.

The previous prime is 1026261023. The next prime is 1026261073. The reversal of 1026261040 is 401626201.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85659 + ... + 96901.

Almost surely, 2^1026261040 is an apocalyptic number.

1026261040 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 1026261040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371947904).

1026261040 is an abundant number, since it is smaller than the sum of its proper divisors (1717634768).

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

1026261040 is a wasteful number, since it uses less digits than its factorization.

1026261040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11426 (or 11420 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 1026261040 is about 32035.3092696169. The cubic root of 1026261040 is about 1008.6781518294.

Adding to 1026261040 its reverse (401626201), we get a palindrome (1427887241).

The spelling of 1026261040 in words is "one billion, twenty-six million, two hundred sixty-one thousand, forty".