1026680928 has 288 divisors, whose sum is σ = 3429893376. Its totient is φ = 266499072.

The previous prime is 1026680917. The next prime is 1026680981. The reversal of 1026680928 is 8290866201.

It is a super-4 number, since 4×1026680928⁴ (a number of 37 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 1026680928.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6298575 + ... + 6298737.

It is an arithmetic number, because the mean of its divisors is an integer number (11909352).

Almost surely, 2^1026680928 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 1026680928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714946688).

1026680928 is an abundant number, since it is smaller than the sum of its proper divisors (2403212448).

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

1026680928 is a wasteful number, since it uses less digits than its factorization.

1026680928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 1026680928 is about 32041.8621181728. The cubic root of 1026680928 is about 1008.8156977645.

The spelling of 1026680928 in words is "one billion, twenty-six million, six hundred eighty thousand, nine hundred twenty-eight".