1020985524 has 144 divisors (see below), whose sum is σ = 2963273040. Its totient is φ = 293621760.

The previous prime is 1020985523. The next prime is 1020985529. The reversal of 1020985524 is 4255890201.

1020985524 is a `hidden beast` number, since 10 + 2 + 0 + 98 + 552 + 4 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 319265424 + 701720100 = 17868^2 + 26490^2 .

It is a super-2 number, since 2×1020985524² = 2084822880435109152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020985523) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1439682 + ... + 1440390.

It is an arithmetic number, because the mean of its divisors is an integer number (20578285).

Almost surely, 2^1020985524 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020985524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481636520).

1020985524 is an abundant number, since it is smaller than the sum of its proper divisors (1942287516).

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

1020985524 is a wasteful number, since it uses less digits than its factorization.

1020985524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 1020985524 is about 31952.8640969788. The cubic root of 1020985524 is about 1006.9468048229.

The spelling of 1020985524 in words is "one billion, twenty million, nine hundred eighty-five thousand, five hundred twenty-four".