1011262560 has 192 divisors, whose sum is σ = 3971649024. Its totient is φ = 210124800.

The previous prime is 1011262543. The next prime is 1011262579. The reversal of 1011262560 is 652621101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1011262560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23280 + ... + 50640.

It is an arithmetic number, because the mean of its divisors is an integer number (20685672).

Almost surely, 2^1011262560 is an apocalyptic number.

1011262560 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 1011262560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1985824512).

1011262560 is an abundant number, since it is smaller than the sum of its proper divisors (2960386464).

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

1011262560 is a wasteful number, since it uses less digits than its factorization.

1011262560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27397 (or 27389 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 1011262560 is about 31800.3547150028. The cubic root of 1011262560 is about 1003.7401802778.

Adding to 1011262560 its reverse (652621101), we get a palindrome (1663883661).

The spelling of 1011262560 in words is "one billion, eleven million, two hundred sixty-two thousand, five hundred sixty".