1026574560 has 480 divisors, whose sum is σ = 4171305600. Its totient is φ = 235146240.

The previous prime is 1026574559. The next prime is 1026574589. The reversal of 1026574560 is 654756201.

It is a happy number.

1026574560 is a `hidden beast` number, since 1 + 0 + 26 + 5 + 74 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 79 ways as a sum of consecutive naturals, for example, 2708451 + ... + 2708829.

It is an arithmetic number, because the mean of its divisors is an integer number (8690220).

Almost surely, 2^1026574560 is an apocalyptic number.

1026574560 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 1026574560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2085652800).

1026574560 is an abundant number, since it is smaller than the sum of its proper divisors (3144731040).

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

1026574560 is a wasteful number, since it uses less digits than its factorization.

1026574560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 1026574560 is about 32040.2022465527. The cubic root of 1026574560 is about 1008.7808575295.

The spelling of 1026574560 in words is "one billion, twenty-six million, five hundred seventy-four thousand, five hundred sixty".