1026349056 has 240 divisors, whose sum is σ = 3210807600. Its totient is φ = 326025216.

The previous prime is 1026349043. The next prime is 1026349111. The reversal of 1026349056 is 6509436201.

It is a happy number.

1026349056 is a `hidden beast` number, since 10 + 2 + 634 + 9 + 0 + 5 + 6 = 666.

It is a super-2 number, since 2×1026349056² = 2106784769504182272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1026349056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3815290 + ... + 3815558.

It is an arithmetic number, because the mean of its divisors is an integer number (13378365).

Almost surely, 2^1026349056 is an apocalyptic number.

1026349056 is a gapful number since it is divisible by the number (16) 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 1026349056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605403800).

1026349056 is an abundant number, since it is smaller than the sum of its proper divisors (2184458544).

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

1026349056 is an equidigital number, since it uses as much as digits as its factorization.

1026349056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 1026349056 is about 32036.6829743655. The cubic root of 1026349056 is about 1008.7069870135.

It can be divided in two parts, 10263 and 49056, that added together give a cube (59319 = 39³).

The spelling of 1026349056 in words is "one billion, twenty-six million, three hundred forty-nine thousand, fifty-six".