1026041968 has 160 divisors (see below), whose sum is σ = 2472857600. Its totient is φ = 411505920.

The previous prime is 1026041941. The next prime is 1026041969. The reversal of 1026041968 is 8691406201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1026041969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6294655 + ... + 6294817.

It is an arithmetic number, because the mean of its divisors is an integer number (15455360).

Almost surely, 2^1026041968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1026041968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236428800).

1026041968 is an abundant number, since it is smaller than the sum of its proper divisors (1446815632).

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

1026041968 is a wasteful number, since it uses less digits than its factorization.

1026041968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 1026041968 is about 32031.8898599505. The cubic root of 1026041968 is about 1008.6063738389.

The spelling of 1026041968 in words is "one billion, twenty-six million, forty-one thousand, nine hundred sixty-eight".