1020532560 has 120 divisors (see below), whose sum is σ = 3339205920. Its totient is φ = 257796864.

The previous prime is 1020532547. The next prime is 1020532571. The reversal of 1020532560 is 652350201.

It is a tau number, because it is divible by the number of its divisors (120).

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 1020532560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80751 + ... + 92529.

It is an arithmetic number, because the mean of its divisors is an integer number (27826716).

Almost surely, 2^1020532560 is an apocalyptic number.

1020532560 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 1020532560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669602960).

1020532560 is an abundant number, since it is smaller than the sum of its proper divisors (2318673360).

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

1020532560 is a wasteful number, since it uses less digits than its factorization.

1020532560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11833 (or 11808 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 1020532560 is about 31945.7753075426. The cubic root of 1020532560 is about 1006.7978709056.

Adding to 1020532560 its reverse (652350201), we get a palindrome (1672882761).

The spelling of 1020532560 in words is "one billion, twenty million, five hundred thirty-two thousand, five hundred sixty".