1020535264 has 48 divisors (see below), whose sum is σ = 2352230496. Its totient is φ = 426700800.

The previous prime is 1020535261. The next prime is 1020535303. The reversal of 1020535264 is 4625350201.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020535261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46377 + ... + 64744.

It is an arithmetic number, because the mean of its divisors is an integer number (49004802).

Almost surely, 2^1020535264 is an apocalyptic number.

1020535264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1020535264 is an abundant number, since it is smaller than the sum of its proper divisors (1331695232).

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

1020535264 is a wasteful number, since it uses less digits than its factorization.

1020535264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111179 (or 111171 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 1020535264 is about 31945.8176292297. The cubic root of 1020535264 is about 1006.7987601077.

Adding to 1020535264 its reverse (4625350201), we get a palindrome (5645885465).

The spelling of 1020535264 in words is "one billion, twenty million, five hundred thirty-five thousand, two hundred sixty-four".