1012005360 has 160 divisors (see below), whose sum is σ = 3669408000. Its totient is φ = 255654144.

The previous prime is 1012005329. The next prime is 1012005361. The reversal of 1012005360 is 635002101.

1012005360 is a `hidden beast` number, since 10 + 120 + 0 + 536 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012005361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28711 + ... + 53369.

It is an arithmetic number, because the mean of its divisors is an integer number (22933800).

Almost surely, 2^1012005360 is an apocalyptic number.

1012005360 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 1012005360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1834704000).

1012005360 is an abundant number, since it is smaller than the sum of its proper divisors (2657402640).

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

1012005360 is a wasteful number, since it uses less digits than its factorization.

1012005360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24700 (or 24688 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1012005360 is about 31812.0316861404. The cubic root of 1012005360 is about 1003.9858783324.

Adding to 1012005360 its reverse (635002101), we get a palindrome (1647007461).

The spelling of 1012005360 in words is "one billion, twelve million, five thousand, three hundred sixty".