1026960480 has 576 divisors, whose sum is σ = 4576860288. Its totient is φ = 203489280.

The previous prime is 1026960461. The next prime is 1026960533. The reversal of 1026960480 is 840696201.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2227450 + ... + 2227910.

It is an arithmetic number, because the mean of its divisors is an integer number (7945938).

Almost surely, 2^1026960480 is an apocalyptic number.

1026960480 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 1026960480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2288430144).

1026960480 is an abundant number, since it is smaller than the sum of its proper divisors (3549899808).

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

1026960480 is a wasteful number, since it uses less digits than its factorization.

1026960480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1026960480 is about 32046.2241145505. The cubic root of 1026960480 is about 1008.9072519645.

The spelling of 1026960480 in words is "one billion, twenty-six million, nine hundred sixty thousand, four hundred eighty".