1072824260 has 48 divisors (see below), whose sum is σ = 2351386800. Its totient is φ = 410640384.

The previous prime is 1072824257. The next prime is 1072824331. The reversal of 1072824260 is 624282701.

It can be written as a sum of positive squares in 8 ways, for example, as 229037956 + 843786304 = 15134^2 + 29048^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57356 + ... + 73724.

It is an arithmetic number, because the mean of its divisors is an integer number (48987225).

Almost surely, 2^1072824260 is an apocalyptic number.

1072824260 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 1072824260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175693400).

1072824260 is an abundant number, since it is smaller than the sum of its proper divisors (1278562540).

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

1072824260 is a wasteful number, since it uses less digits than its factorization.

1072824260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16520 (or 16518 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 1072824260 is about 32753.9960920801. The cubic root of 1072824260 is about 1023.7082311339.

The spelling of 1072824260 in words is "one billion, seventy-two million, eight hundred twenty-four thousand, two hundred sixty".