1026338040 has 480 divisors, whose sum is σ = 4318886880. Its totient is φ = 212875776.

The previous prime is 1026338023. The next prime is 1026338081. The reversal of 1026338040 is 408336201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1026337995 and 1026338013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 17395531 + ... + 17395589.

It is an arithmetic number, because the mean of its divisors is an integer number (8997681).

Almost surely, 2^1026338040 is an apocalyptic number.

1026338040 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 1026338040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2159443440).

1026338040 is an abundant number, since it is smaller than the sum of its proper divisors (3292548840).

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

1026338040 is a wasteful number, since it uses less digits than its factorization.

1026338040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 89 counting only the distinct ones).

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

The square root of 1026338040 is about 32036.5110459925. The cubic root of 1026338040 is about 1008.7033781192.

The spelling of 1026338040 in words is "one billion, twenty-six million, three hundred thirty-eight thousand, forty".