1026793440 has 144 divisors (see below), whose sum is σ = 3688448400. Its totient is φ = 259393536.

The previous prime is 1026793423. The next prime is 1026793451. The reversal of 1026793440 is 443976201.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 1026793395 and 1026793404.

It is a congruent number.

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, 8596 + ... + 46124.

It is an arithmetic number, because the mean of its divisors is an integer number (25614225).

Almost surely, 2^1026793440 is an apocalyptic number.

1026793440 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 1026793440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1844224200).

1026793440 is an abundant number, since it is smaller than the sum of its proper divisors (2661654960).

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

1026793440 is a wasteful number, since it uses less digits than its factorization.

1026793440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37569 (or 37558 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1026793440 is about 32043.6177732790. The cubic root of 1026793440 is about 1008.8525478129.

The spelling of 1026793440 in words is "one billion, twenty-six million, seven hundred ninety-three thousand, four hundred forty".